{
"http://dbpedia.org/resource/Spherical_harmonics" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Lorentz_group" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Timeline_of_manifolds" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Sigur\u00F0ur_Helgason_(mathematician)" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Orthogonal_group" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Complex_hyperbolic_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Isometry" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Hyperbolic_geometry" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Reflection_(mathematics)" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Hyperbolic_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Margulis_lemma" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://en.wikipedia.org/wiki/Symmetric_space" : { "http://xmlns.com/foaf/0.1/primaryTopic" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Flat_manifold" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Bott_periodicity_theorem" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Glossary_of_algebraic_geometry" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Holonomy" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Fubini\u2013Study_metric" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Moduli_(physics)" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Quaternionic_discrete_series_representation" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Representation_theory" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Weyl_group" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/List_of_differential_geometry_topics" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Locally_symmetric_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageRedirects" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Riemannian_symmetric_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageRedirects" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Audrey_Terras" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Geodesic_manifold" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Canonical_connection" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/\u00C9lie_Cartan" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Gopal_Prasad" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/(G,X)-manifold" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Harmonic_morphism" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Tetrad_formalism" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Topological_geometry" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Kuznetsov_trace_formula" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Symmetric_space_(disambiguation)" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageDisambiguates" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/De_Sitter_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Anti-de_Sitter_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Estimation_of_covariance_matrices" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Locally_symmetric_variety" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageRedirects" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Foundations_of_Differential_Geometry" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Feature_selection" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Busemann_function" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Marcel_Berger" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Hopf_conjecture" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Classification_of_Clifford_algebras" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Isoparametric_manifold" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Homogeneous_variety" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Spherical_variety" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Symmetric_variety" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Kostant's_convexity_theorem" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Siegel_upper_half-space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Pinsky_phenomenon" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/List_of_things_named_after_Bernhard_Riemann" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Triple_system" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Lagrangian_(field_theory)" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/T1_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Hadamard_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Symmetric_spaces" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageRedirects" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Schwarz_triangle" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Cornelia_Dru\u021Bu" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Kloosterman_sum" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Artin_billiard" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Sigma_model" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Algebraic_torus" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Ricci-flat_manifold" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Generalized_flag_variety" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Generalized_hypergeometric_function" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Equivariant_map" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Arithmetic_group" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Symmetric_space" : { "http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [ { "type" : "uri", "value" : "http://dbpedia.org/class/yago/WikicatLieGroups" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/class/yago/Abstraction100002137" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/class/yago/Group100031264" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/class/yago/WikicatHomogeneousSpaces" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/class/yago/Attribute100024264" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/class/yago/Space100028651" } ] ,
"http://www.w3.org/2000/01/rdf-schema#label" : [ { "type" : "literal", "value" : "\uB300\uCE6D \uACF5\uAC04" , "lang" : "ko" } ,
{ "type" : "literal", "value" : "Symmetric space" , "lang" : "en" } ,
{ "type" : "literal", "value" : "Espace sym\u00E9trique" , "lang" : "fr" } ,
{ "type" : "literal", "value" : "Symmetrischer Raum" , "lang" : "de" } ,
{ "type" : "literal", "value" : "\u0421\u0438\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0438\u0439 \u043F\u0440\u043E\u0441\u0442\u0456\u0440" , "lang" : "uk" } ,
{ "type" : "literal", "value" : "\u0421\u0438\u043C\u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u043E\u0435 \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u043E" , "lang" : "ru" } ] ,
"http://www.w3.org/2000/01/rdf-schema#comment" : [ { "type" : "literal", "value" : "In der Mathematik sind symmetrische R\u00E4ume eine Klasse von Riemannschen Mannigfaltigkeiten mit einem besonders hohen Grad an Symmetrien. Sie sind eine wichtige Klasse von Beispielen in Geometrie und Topologie und finden Anwendung unter anderem in Darstellungstheorie, harmonischer Analysis, Zahlentheorie, Modulformen und Physik." , "lang" : "de" } ,
{ "type" : "literal", "value" : "\u0421\u0438\u043C\u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u043E\u0435 \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u043E \u2014 \u0440\u0438\u043C\u0430\u043D\u043E\u0432\u043E \u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u0435, \u0433\u0440\u0443\u043F\u043F\u0430 \u0438\u0437\u043E\u043C\u0435\u0442\u0440\u0438\u0439 \u043A\u043E\u0442\u043E\u0440\u043E\u0433\u043E \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u0446\u0435\u043D\u0442\u0440\u0430\u043B\u044C\u043D\u044B\u0435 \u0441\u0438\u043C\u043C\u0435\u0442\u0440\u0438\u0438 \u0441 \u0446\u0435\u043D\u0442\u0440\u043E\u043C \u0432 \u043B\u044E\u0431\u043E\u0439 \u0442\u043E\u0447\u043A\u0435." , "lang" : "ru" } ,
{ "type" : "literal", "value" : "( \uC774 \uBB38\uC11C\uB294 \uD2B9\uBCC4\uD55C \uB3D9\uCC28 \uACF5\uAC04\uC5D0 \uAD00\uD55C \uAC83\uC785\uB2C8\uB2E4. \uC57D\uD55C \uBD84\uB9AC \uACF5\uB9AC\uB97C \uB9CC\uC871\uC2DC\uD0A4\uB294 \uC704\uC0C1 \uACF5\uAC04\uC5D0 \uB300\uD574\uC11C\uB294 R0 \uACF5\uAC04 \uBB38\uC11C\uB97C \uCC38\uACE0\uD558\uC2ED\uC2DC\uC624.) \uB9AC\uB9CC \uAE30\uD558\uD559\uACFC \uB9AC \uAD70\uB860\uC5D0\uC11C \uB300\uCE6D \uACF5\uAC04(\u5C0D\u7A31\u7A7A\u9593, \uC601\uC5B4: symmetric space)\uC740 \uC77C\uBC18\uC810\uC758 \uC548\uC815\uC790\uAD70\uC774 \uC5B4\uB5A4 \uB300\uD569\uC5D0 \uC758\uD558\uC5EC \uC815\uC758\uB418\uB294 \uB3D9\uCC28 \uACF5\uAC04\uC774\uB2E4." , "lang" : "ko" } ,
{ "type" : "literal", "value" : "En math\u00E9matiques, et plus sp\u00E9cifiquement en g\u00E9om\u00E9trie diff\u00E9rentielle, un espace sym\u00E9trique est une vari\u00E9t\u00E9, espace courbe sur lequel on peut d\u00E9finir une g\u00E9n\u00E9ralisation convenable de la notion de sym\u00E9trie centrale. La d\u00E9finition pr\u00E9cise de la notion d'espace sym\u00E9trique d\u00E9pend du type de structure dont on munit la vari\u00E9t\u00E9. Le plus couramment, on entend par espace sym\u00E9trique une vari\u00E9t\u00E9 munie d'une m\u00E9trique riemannienne pour laquelle l'application de sym\u00E9trie le long des g\u00E9od\u00E9siques constitue une isom\u00E9trie." , "lang" : "fr" } ,
{ "type" : "literal", "value" : "In mathematics, a symmetric space is a Riemannian manifold (or more generally, a pseudo-Riemannian manifold) whose group of symmetries contains an inversion symmetry about every point. This can be studied with the tools of Riemannian geometry, leading to consequences in the theory of holonomy; or algebraically through Lie theory, which allowed Cartan to give a complete classification. Symmetric spaces commonly occur in differential geometry, representation theory and harmonic analysis." , "lang" : "en" } ,
{ "type" : "literal", "value" : "\u0421\u0438\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0438\u0439 \u043F\u0440\u043E\u0441\u0442\u0456\u0440 \u2014 \u0440\u0456\u043C\u0430\u043D\u0456\u0432 \u043C\u043D\u043E\u0433\u043E\u0432\u0438\u0434, \u0433\u0440\u0443\u043F\u0430 \u0456\u0437\u043E\u043C\u0435\u0442\u0440\u0456\u0439 \u044F\u043A\u043E\u0433\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u0446\u0435\u043D\u0442\u0440\u0430\u043B\u044C\u043D\u0456 \u0441\u0438\u043C\u0435\u0442\u0440\u0456\u0457 \u0437 \u0446\u0435\u043D\u0442\u0440\u043E\u043C \u0432 \u0431\u0443\u0434\u044C-\u044F\u043A\u0456\u0439 \u0442\u043E\u0447\u0446\u0456. \u041F\u043E\u0447\u0430\u0442\u043E\u043A \u0432\u0438\u0432\u0447\u0435\u043D\u043D\u044E \u0441\u0438\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0438\u0445 \u043F\u0440\u043E\u0441\u0442\u043E\u0440\u0456\u0432 \u0431\u0443\u043B\u043E \u043F\u043E\u043A\u043B\u0430\u0434\u0435\u043D\u043E \u0415\u043B\u0456 \u041A\u0430\u0440\u0442\u0430\u043D\u043E\u043C. \u0417\u043E\u043A\u0440\u0435\u043C\u0430 \u0457\u043C \u0431\u0443\u043B\u0430 \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u0430 \u0457\u0445 \u043A\u043B\u0430\u0441\u0438\u0444\u0456\u043A\u0430\u0446\u0456\u044F \u0432 1926 \u0440\u043E\u0446\u0456." , "lang" : "uk" } ] ,
"http://purl.org/dc/terms/subject" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Lie_groups" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Homogeneous_spaces" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Differential_geometry" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Riemannian_geometry" } ] ,
"http://dbpedia.org/ontology/abstract" : [ { "type" : "literal", "value" : "En math\u00E9matiques, et plus sp\u00E9cifiquement en g\u00E9om\u00E9trie diff\u00E9rentielle, un espace sym\u00E9trique est une vari\u00E9t\u00E9, espace courbe sur lequel on peut d\u00E9finir une g\u00E9n\u00E9ralisation convenable de la notion de sym\u00E9trie centrale. La d\u00E9finition pr\u00E9cise de la notion d'espace sym\u00E9trique d\u00E9pend du type de structure dont on munit la vari\u00E9t\u00E9. Le plus couramment, on entend par espace sym\u00E9trique une vari\u00E9t\u00E9 munie d'une m\u00E9trique riemannienne pour laquelle l'application de sym\u00E9trie le long des g\u00E9od\u00E9siques constitue une isom\u00E9trie. Il est int\u00E9ressant de consid\u00E9rer la notion plus large d'espace localement sym\u00E9trique (lorsque les sym\u00E9tries g\u00E9od\u00E9siques, d\u00E9finies localement, sont des isom\u00E9tries locales). En effet, ce sont aussi les vari\u00E9t\u00E9s riemanniennes pour lesquelles le tenseur de Riemann a une d\u00E9riv\u00E9e covariante nulle. Cette condition g\u00E9n\u00E9ralise celle d'\u00AB (en) \u00BB et ne doit pas \u00EAtre confondue avec elle (puisque pour ces derni\u00E8res c'est la courbure sectionnelle qui est constante). Les espaces sym\u00E9triques poss\u00E8dent encore d'autres caract\u00E9risations remarquables. Ce sont notamment des espaces homog\u00E8nes, quotients de groupes de Lie. Ils ont \u00E9t\u00E9 introduits et classifi\u00E9s par \u00C9lie Cartan dans les ann\u00E9es 1920. Les espaces sym\u00E9triques constituent un cadre naturel pour g\u00E9n\u00E9raliser l'analyse harmonique classique sur les sph\u00E8res. Dans une acception plus large, un espace sym\u00E9trique est une vari\u00E9t\u00E9 diff\u00E9rentielle munie, en chaque point, d'une involution dont ce point est un point fixe isol\u00E9, et v\u00E9rifiant certaines conditions. Lorsqu'il n'y pas de risque de confusion, les espaces riemanniens sym\u00E9triques sont simplement appel\u00E9s espaces sym\u00E9triques. Les espaces \u00E0 courbure constante, la plupart des espaces homog\u00E8nes usuels de la g\u00E9om\u00E9trie diff\u00E9rentielle sont soit des espaces sym\u00E9triques (riemanniens ou non) soit ce que l'on appelle vari\u00E9t\u00E9s de drapeaux g\u00E9n\u00E9ralis\u00E9es (g\u00E9n\u00E9ralisation des espaces projectifs, des grassmanniennes, des quadriques projectives)." , "lang" : "fr" } ,
{ "type" : "literal", "value" : "In der Mathematik sind symmetrische R\u00E4ume eine Klasse von Riemannschen Mannigfaltigkeiten mit einem besonders hohen Grad an Symmetrien. Sie sind eine wichtige Klasse von Beispielen in Geometrie und Topologie und finden Anwendung unter anderem in Darstellungstheorie, harmonischer Analysis, Zahlentheorie, Modulformen und Physik." , "lang" : "de" } ,
{ "type" : "literal", "value" : "\u0421\u0438\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0438\u0439 \u043F\u0440\u043E\u0441\u0442\u0456\u0440 \u2014 \u0440\u0456\u043C\u0430\u043D\u0456\u0432 \u043C\u043D\u043E\u0433\u043E\u0432\u0438\u0434, \u0433\u0440\u0443\u043F\u0430 \u0456\u0437\u043E\u043C\u0435\u0442\u0440\u0456\u0439 \u044F\u043A\u043E\u0433\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u0446\u0435\u043D\u0442\u0440\u0430\u043B\u044C\u043D\u0456 \u0441\u0438\u043C\u0435\u0442\u0440\u0456\u0457 \u0437 \u0446\u0435\u043D\u0442\u0440\u043E\u043C \u0432 \u0431\u0443\u0434\u044C-\u044F\u043A\u0456\u0439 \u0442\u043E\u0447\u0446\u0456. \u041F\u043E\u0447\u0430\u0442\u043E\u043A \u0432\u0438\u0432\u0447\u0435\u043D\u043D\u044E \u0441\u0438\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0438\u0445 \u043F\u0440\u043E\u0441\u0442\u043E\u0440\u0456\u0432 \u0431\u0443\u043B\u043E \u043F\u043E\u043A\u043B\u0430\u0434\u0435\u043D\u043E \u0415\u043B\u0456 \u041A\u0430\u0440\u0442\u0430\u043D\u043E\u043C. \u0417\u043E\u043A\u0440\u0435\u043C\u0430 \u0457\u043C \u0431\u0443\u043B\u0430 \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u0430 \u0457\u0445 \u043A\u043B\u0430\u0441\u0438\u0444\u0456\u043A\u0430\u0446\u0456\u044F \u0432 1926 \u0440\u043E\u0446\u0456." , "lang" : "uk" } ,
{ "type" : "literal", "value" : "( \uC774 \uBB38\uC11C\uB294 \uD2B9\uBCC4\uD55C \uB3D9\uCC28 \uACF5\uAC04\uC5D0 \uAD00\uD55C \uAC83\uC785\uB2C8\uB2E4. \uC57D\uD55C \uBD84\uB9AC \uACF5\uB9AC\uB97C \uB9CC\uC871\uC2DC\uD0A4\uB294 \uC704\uC0C1 \uACF5\uAC04\uC5D0 \uB300\uD574\uC11C\uB294 R0 \uACF5\uAC04 \uBB38\uC11C\uB97C \uCC38\uACE0\uD558\uC2ED\uC2DC\uC624.) \uB9AC\uB9CC \uAE30\uD558\uD559\uACFC \uB9AC \uAD70\uB860\uC5D0\uC11C \uB300\uCE6D \uACF5\uAC04(\u5C0D\u7A31\u7A7A\u9593, \uC601\uC5B4: symmetric space)\uC740 \uC77C\uBC18\uC810\uC758 \uC548\uC815\uC790\uAD70\uC774 \uC5B4\uB5A4 \uB300\uD569\uC5D0 \uC758\uD558\uC5EC \uC815\uC758\uB418\uB294 \uB3D9\uCC28 \uACF5\uAC04\uC774\uB2E4." , "lang" : "ko" } ,
{ "type" : "literal", "value" : "In mathematics, a symmetric space is a Riemannian manifold (or more generally, a pseudo-Riemannian manifold) whose group of symmetries contains an inversion symmetry about every point. This can be studied with the tools of Riemannian geometry, leading to consequences in the theory of holonomy; or algebraically through Lie theory, which allowed Cartan to give a complete classification. Symmetric spaces commonly occur in differential geometry, representation theory and harmonic analysis. In geometric terms, a complete, simply connected Riemannian manifold is a symmetric space if and only if its curvature tensor is invariant under parallel transport. More generally, a Riemannian manifold (M, g) is said to be symmetric if and only if, for each point p of M, there exists an isometry of M fixing p and acting on the tangent space as minus the identity (every symmetric space is complete, since any geodesic can be extended indefinitely via symmetries about the endpoints). Both descriptions can also naturally be extended to the setting of pseudo-Riemannian manifolds. From the point of view of Lie theory, a symmetric space is the quotient G/H of a connected Lie group G by a Lie subgroup H which is (a connected component of) the invariant group of an involution of G. This definition includes more than the Riemannian definition, and reduces to it when H is compact. Riemannian symmetric spaces arise in a wide variety of situations in both mathematics and physics. Their central role in the theory of holonomy was discovered by Marcel Berger. They are important objects of study in representation theory and harmonic analysis as well as in differential geometry." , "lang" : "en" } ,
{ "type" : "literal", "value" : "\u0421\u0438\u043C\u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u043E\u0435 \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u043E \u2014 \u0440\u0438\u043C\u0430\u043D\u043E\u0432\u043E \u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u0435, \u0433\u0440\u0443\u043F\u043F\u0430 \u0438\u0437\u043E\u043C\u0435\u0442\u0440\u0438\u0439 \u043A\u043E\u0442\u043E\u0440\u043E\u0433\u043E \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u0446\u0435\u043D\u0442\u0440\u0430\u043B\u044C\u043D\u044B\u0435 \u0441\u0438\u043C\u043C\u0435\u0442\u0440\u0438\u0438 \u0441 \u0446\u0435\u043D\u0442\u0440\u043E\u043C \u0432 \u043B\u044E\u0431\u043E\u0439 \u0442\u043E\u0447\u043A\u0435." , "lang" : "ru" } ] ,
"http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Orthogonal_symmetric_Lie_algebra" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Lie_group" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Euclidean_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Unit_quaternion" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/General_relativity" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Tangent_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Inversion_symmetry" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Gelfand_pair" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Minkowski_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Direct_sum_of_Lie_algebras" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Isotropy_group" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Jet_bundle" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Covariant_derivative" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Reductive_homogeneous_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Loop_spaces" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Curvature_of_a_connection" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Relative_root_system" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/De_Sitter_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Antilinear" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Bott_periodicity_theorem" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/\u00C9lie_Cartan" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Grassmannian" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Differential_geometry" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Lagrangian_Grassmannian" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Universal_cover" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Indecomposable_module" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Exceptional_Lie_group" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Cartan_involution" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Differential_geometry" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Holonomy_group" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Riemannian_geometry" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Mathematics" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Atle_Selberg" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Quaternion" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Complete_manifold" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Unitary_representation" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Riemann_surface" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Pseudo-Riemannian_manifold" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Lens_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Cartan\u2013Ambrose\u2013Hicks_theorem" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Sectional_curvature" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Involution_(mathematics)" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Sphere" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Satake_diagram" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Riemannian_geometry" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Representation_theory" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Automorphism" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Irreducible_representation" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Parallel_transport" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Metric_tensor" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Double_Lagrangian_Grassmannian" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Lie_groups" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Complete_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Simply_connected" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Hyperbolic_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Holonomy" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Homogeneous_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/If_and_only_if" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Riemannian_manifold" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Lie_groups" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Quaternionic_vector_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Orthogonal_group" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Simple_Lie_group" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Quaternion-K\u00E4hler_symmetric_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Freudenthal_magic_square" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Affine_connection" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Hermitian_symmetric_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Homogeneous_spaces" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Long_exact_sequence_of_a_fibration" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Anti-de_Sitter_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Katsumi_Nomizu" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Cayley_projective_plane" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Semisimple_Lie_algebra" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Rosenfeld_projective_plane" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Killing_form" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Lie_theory" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Torsion_tensor" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Harmonic_analysis" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Projective_space" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Casimir_operator" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Pseudo-Riemannian_metric" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Marcel_Berger" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Ernest_Vinberg" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Octonion" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Rank_of_a_Lie_group" } ] ,
"http://dbpedia.org/property/wikiPageUsesTemplate" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Main" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Harv" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Short_description" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Use_American_English" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Reflist" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Citation" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Cite_journal" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Other_uses" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Harvtxt" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Template:Lie_groups" } ] ,
"http://dbpedia.org/ontology/wikiPageRevisionID" : [ { "type" : "literal", "value" : 1061186625 , "datatype" : "http://www.w3.org/2001/XMLSchema#integer" } ] ,
"http://dbpedia.org/ontology/wikiPageExternalLink" : [ { "type" : "uri", "value" : "http://www.ims.cuhk.edu.hk/~leung/PhD%20students/Thesis%20Yong%20Dong%20Huang.pdf" } ,
{ "type" : "uri", "value" : "https://archive.org/details/einsteinmanifold0000bess" } ,
{ "type" : "uri", "value" : "http://doklady.belnauka.by/jour/article/view/383" } ,
{ "type" : "uri", "value" : "https://archive.org/details/groupsgeometrica0000helg" } ] ,
"http://dbpedia.org/ontology/wikiPageLength" : [ { "type" : "literal", "value" : "43548" , "datatype" : "http://www.w3.org/2001/XMLSchema#nonNegativeInteger" } ] ,
"http://dbpedia.org/ontology/wikiPageID" : [ { "type" : "literal", "value" : 1642877 , "datatype" : "http://www.w3.org/2001/XMLSchema#integer" } ] ,
"http://www.w3.org/2002/07/owl#sameAs" : [ { "type" : "uri", "value" : "http://de.dbpedia.org/resource/Symmetrischer_Raum" } ,
{ "type" : "uri", "value" : "http://rdf.freebase.com/ns/m.05k14z" } ,
{ "type" : "uri", "value" : "http://ko.dbpedia.org/resource/\uB300\uCE6D_\uACF5\uAC04" } ,
{ "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ,
{ "type" : "uri", "value" : "http://ru.dbpedia.org/resource/\u0421\u0438\u043C\u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u043E\u0435_\u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u043E" } ,
{ "type" : "uri", "value" : "http://www.wikidata.org/entity/Q3058244" } ,
{ "type" : "uri", "value" : "http://yago-knowledge.org/resource/Symmetric_space" } ,
{ "type" : "uri", "value" : "http://fr.dbpedia.org/resource/Espace_sym\u00E9trique" } ,
{ "type" : "uri", "value" : "http://et.dbpedia.org/resource/S\u00FCmmeetriline_ruum" } ,
{ "type" : "uri", "value" : "http://uk.dbpedia.org/resource/\u0421\u0438\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0438\u0439_\u043F\u0440\u043E\u0441\u0442\u0456\u0440" } ,
{ "type" : "uri", "value" : "https://global.dbpedia.org/id/2pxuv" } ] ,
"http://purl.org/linguistics/gold/hypernym" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Manifold" } ] ,
"http://www.w3.org/ns/prov#wasDerivedFrom" : [ { "type" : "uri", "value" : "http://en.wikipedia.org/wiki/Symmetric_space?oldid=1061186625&ns=0" } ] ,
"http://xmlns.com/foaf/0.1/isPrimaryTopicOf" : [ { "type" : "uri", "value" : "http://en.wikipedia.org/wiki/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Weakly_symmetric_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Zonal_spherical_function" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Matsushima's_formula" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Ultrahyperbolic_equation" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Cayley_plane" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Killing_vector_field" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Hermitian_symmetric_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Reductive_group" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Differential_forms_on_a_Riemann_surface" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Borel\u2013de_Siebenthal_theory" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Polar_action" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Classification_theorem" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Cartan\u2013Ambrose\u2013Hicks_theorem" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Restricted_root_system" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Poisson_boundary" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Plancherel_theorem_for_spherical_functions" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Orthogonal_symmetric_Lie_algebra" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Rational_homotopy_theory" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Locally_symmetric" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageRedirects" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Riemann_symmetric_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageRedirects" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Locally_Riemannian_symmetric_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageRedirects" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] } ,
"http://dbpedia.org/resource/Weakly_symmetric_Riemannian_space" : { "http://dbpedia.org/ontology/wikiPageWikiLink" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] ,
"http://dbpedia.org/ontology/wikiPageRedirects" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Symmetric_space" } ] }
}