@prefix foaf:	<http://xmlns.com/foaf/0.1/> .
@prefix wikipedia-en:	<http://en.wikipedia.org/wiki/> .
@prefix dbr:	<http://dbpedia.org/resource/> .
wikipedia-en:Submanifold	foaf:primaryTopic	dbr:Submanifold .
@prefix dbo:	<http://dbpedia.org/ontology/> .
dbr:Fisher_information_metric	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Glossary_of_differential_geometry_and_topology	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Non-Euclidean_geometry	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Yoshie_Katsurada	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Foliation	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Terence_Tao	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Borel\u2013Moore_homology>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Topological_group	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Darboux_frame	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Minkowski_space	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Bang-Yen_Chen	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Foundations_of_Differential_Geometry	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Riemannian_manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Triangulation_(topology)>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Pseudo-Riemannian_manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Distribution_(differential_geometry)>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Integrability_conditions_for_differential_systems	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Darboux\u0027s_theorem>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Differential_ideal	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Diffiety	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:First_class_constraint	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Riemannian_connection_on_a_surface	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Shing-Tung_Yau	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Inclusion_map	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Superstring_theory	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Inverse_mean_curvature_flow	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Riemannian_Penrose_inequality	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Function_of_several_complex_variables	dbo:wikiPageWikiLink	dbr:Submanifold .
@prefix rdf:	<http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix owl:	<http://www.w3.org/2002/07/owl#> .
dbr:Submanifold	rdf:type	owl:Thing ;
	owl:sameAs	<http://uk.dbpedia.org/resource/\u041F\u0456\u0434\u043C\u043D\u043E\u0433\u043E\u0432\u0438\u0434> ,
		dbr:Submanifold ,
		<http://ja.dbpedia.org/resource/\u90E8\u5206\u591A\u69D8\u4F53> ,
		<http://nl.dbpedia.org/resource/Deelvari\u00EBteit> .
@prefix dbpedia-global:	<https://global.dbpedia.org/id/> .
dbr:Submanifold	owl:sameAs	dbpedia-global:HxaH .
@prefix dbpedia-pt:	<http://pt.dbpedia.org/resource/> .
dbr:Submanifold	owl:sameAs	dbpedia-pt:Subvariedade ,
		<http://zh.dbpedia.org/resource/\u5B50\u6D41\u5F62> .
@prefix yago-res:	<http://yago-knowledge.org/resource/> .
dbr:Submanifold	owl:sameAs	yago-res:Submanifold .
@prefix wikidata:	<http://www.wikidata.org/entity/> .
dbr:Submanifold	owl:sameAs	wikidata:Q125539 ,
		<http://ru.dbpedia.org/resource/\u041F\u043E\u0434\u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u0435> ,
		<http://rdf.freebase.com/ns/m.025tdzr> .
@prefix dbpedia-de:	<http://de.dbpedia.org/resource/> .
dbr:Submanifold	owl:sameAs	dbpedia-de:Untermannigfaltigkeit .
@prefix rdfs:	<http://www.w3.org/2000/01/rdf-schema#> .
dbr:Submanifold	rdfs:label	"Untermannigfaltigkeit"@de ,
		"\u5B50\u6D41\u5F62"@zh ,
		"Deelvari\u00EBteit"@nl ,
		"\u041F\u043E\u0434\u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u0435"@ru ,
		"\u041F\u0456\u0434\u043C\u043D\u043E\u0433\u043E\u0432\u0438\u0434"@uk ,
		"Submanifold"@en ,
		"\u90E8\u5206\u591A\u69D8\u4F53"@ja ,
		"Subvariedade"@pt .
@prefix dct:	<http://purl.org/dc/terms/> .
@prefix dbc:	<http://dbpedia.org/resource/Category:> .
dbr:Submanifold	dct:subject	dbc:Differential_topology ,
		dbc:Manifolds ;
	foaf:depiction	<http://commons.wikimedia.org/wiki/Special:FilePath/Immersedsubmanifold_nonselfintersection.jpg> ,
		<http://commons.wikimedia.org/wiki/Special:FilePath/Immersedsubmanifold_selfintersection.jpg> .
@prefix prov:	<http://www.w3.org/ns/prov#> .
dbr:Submanifold	prov:wasDerivedFrom	<http://en.wikipedia.org/wiki/Submanifold?oldid=1183068696&ns=0> .
@prefix gold:	<http://purl.org/linguistics/gold/> .
dbr:Submanifold	gold:hypernym	dbr:S ;
	foaf:isPrimaryTopicOf	wikipedia-en:Submanifold ;
	dbo:wikiPageWikiLink	dbr:Wild_knot ,
		<http://dbpedia.org/resource/Frobenius_theorem_(differential_topology)> ,
		dbr:Linear_subspace ,
		dbc:Differential_topology ,
		dbr:Embedding ,
		dbr:Whitney_embedding_theorem ,
		dbc:Manifolds ,
		<http://dbpedia.org/resource/Atlas_(topology)> ,
		dbr:Relative_topology ,
		dbr:Schoenflies_theorem ,
		dbr:Lie_group ,
		dbr:Second-countable_space ,
		<http://dbpedia.org/resource/File:Immersedsubmanifold_nonselfintersection.jpg> ,
		<http://dbpedia.org/resource/File:Immersedsubmanifold_selfintersection.jpg> ,
		dbr:Differentiability_class ,
		dbr:Subset ,
		dbr:Lie_subgroup ,
		<http://dbpedia.org/resource/Image_(mathematics)> ,
		dbr:Proper_map ,
		<http://dbpedia.org/resource/Plane_(mathematics)> ,
		<http://dbpedia.org/resource/Chart_(topology)> ,
		<http://dbpedia.org/resource/Topology_(structure)> ,
		dbr:Differentiable_manifold ,
		dbr:Graduate_Texts_in_Mathematics ,
		dbr:Mathematics ,
		<http://dbpedia.org/resource/Immersion_(mathematics)> ,
		dbr:Foliation ,
		dbr:Tangent_space ,
		dbr:Manifold ,
		dbr:Diffeomorphism ,
		dbr:Real_coordinate_space ,
		dbr:Inclusion_map ,
		dbr:Closed_map ,
		dbr:Finer_topology ,
		<http://dbpedia.org/resource/Alexander\u0027s_theorem> ,
		dbr:Open_set ,
		dbr:Wild_arc ,
		dbr:Injective ,
		dbr:Closed_subset ,
		dbr:Compact_set ,
		dbr:Neat_submanifold ,
		dbr:Topological_embedding ,
		dbr:Differential_structure ;
	dbo:description	"\u043F\u043E\u0434\u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u043E \u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u044F, \u0441\u0430\u043C\u043E \u044F\u0432\u043B\u044F\u044E\u0449\u0435\u0435\u0441\u044F \u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u0435\u043C"@ru ,
		"enjekcia enmergo"@eo ,
		"subset of a manifold that is a manifold itself; an injective immersion into a manifold"@en .
@prefix dbp:	<http://dbpedia.org/property/> .
@prefix dbt:	<http://dbpedia.org/resource/Template:> .
dbr:Submanifold	dbp:wikiPageUsesTemplate	dbt:Cite_book ,
		dbt:Manifolds ,
		dbt:Authority_control ,
		dbt:Short_description ,
		dbt:Reflist ;
	dbo:thumbnail	<http://commons.wikimedia.org/wiki/Special:FilePath/Immersedsubmanifold_selfintersection.jpg?width=300> .
dbr:Embedding	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Jenny_Harrison	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Local_flatness	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Maurer\u2013Cartan_form>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Scott_core_theorem	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Tubular_neighborhood	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Semialgebraic_set	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Symplectic_manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Transversality_(mathematics)>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Linear_flow_on_the_torus	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Hilbert_manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Polar_action	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Osculating_plane	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Tangential_and_normal_components	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Digital_Morse_theory	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Induced_metric	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Taut_submanifold	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Quasi-sphere	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Whitney_conditions	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Whitney_disk	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Projective_differential_geometry	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Ambient_space	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Isoparametric_manifold	gold:hypernym	dbr:Submanifold ;
	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Gibbons\u2013Hawking\u2013York_boundary_term>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:De_Sitter_space	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Gerhard_Huisken	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Lebesgue_measure	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Stein_manifold	gold:hypernym	dbr:Submanifold ;
	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Gauss_map	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:First_variation_of_area_formula	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Dupin_hypersurface	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Chern\u0027s_conjecture_for_hypersurfaces_in_spheres>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Maximal_surface	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Evolute	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Tangent_space	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Embedded_submanifold	dbo:wikiPageWikiLink	dbr:Submanifold ;
	dbo:wikiPageRedirects	dbr:Submanifold .
dbr:Cauchy_surface	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Differentiable_manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Laplace\u2013Beltrami_operator>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Harmonic_morphism	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Exterior_calculus_identities	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Weyl\u0027s_tube_formula>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Statistical_manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Topological_quantum_field_theory	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Chuu-Lian_Terng	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/G._Peter_Scott>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Geometric_analysis	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Errett_Bishop	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Local_diffeomorphism	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Codimension	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Lie_groupoid	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Second_fundamental_form	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Affine_focal_set	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Regular_submanifold	dbo:wikiPageWikiLink	dbr:Submanifold ;
	dbo:wikiPageRedirects	dbr:Submanifold .
dbr:Geometric_topology	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Neat_submanifold	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/John_Forbes_Nash_Jr.>	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/3-manifold>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Prime_manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Ambient_isotopy	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/Web_(differential_geometry)>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Vanya_Mirzoyan	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Clifford_torus	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Riemannian_submanifold	gold:hypernym	dbr:Submanifold ;
	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Normally_hyperbolic_invariant_manifold	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Immersed_submanifold	dbo:wikiPageWikiLink	dbr:Submanifold ;
	dbo:wikiPageRedirects	dbr:Submanifold .
dbr:Dynamical_horizon	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Isolated_horizon	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Non-expanding_horizon	dbo:wikiPageWikiLink	dbr:Submanifold .
<http://dbpedia.org/resource/2-sided>	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Subanalytic_set	dbo:wikiPageWikiLink	dbr:Submanifold .
dbr:Slice_chart	dbo:wikiPageWikiLink	dbr:Submanifold ;
	dbo:wikiPageRedirects	dbr:Submanifold .
dbr:Slice_coordinate_system	dbo:wikiPageWikiLink	dbr:Submanifold ;
	dbo:wikiPageRedirects	dbr:Submanifold .