About: Submanifold

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

Subset of a manifold that is a manifold itself; an injective immersion into a manifold

Property	Value
dbo:description	enjekcia enmergo (eo) subset of a manifold that is a manifold itself; an injective immersion into a manifold (en) подмножество многообразия, само являющееся многообразием (ru)
dbo:thumbnail	wiki-commons:Special:FilePath/Immersedsubmanifold_selfintersection.jpg?width=300
dbo:wikiPageWikiLink	dbr:Finer_topology dbr:Foliation dbr:Differential_structure dbr:Differentiability_class dbr:Mathematics dbr:Inclusion_map dbr:Differentiable_manifold dbc:Differential_topology dbr:Lie_group dbr:Image_(mathematics) dbr:Linear_subspace dbr:Tangent_space dbr:Wild_knot dbr:Immersion_(mathematics) dbr:Subset dbr:Plane_(mathematics) dbr:Second-countable_space dbr:Manifold dbr:Open_set dbr:Frobenius_theorem_(differential_topology) dbr:Closed_map dbr:Diffeomorphism dbr:Real_coordinate_space dbr:Graduate_Texts_in_Mathematics dbr:Embedding dbr:Atlas_(topology) dbr:Whitney_embedding_theorem dbr:Alexander's_theorem dbr:Wild_arc dbr:Proper_map dbc:Manifolds dbr:Lie_subgroup dbr:Neat_submanifold dbr:Topology_(structure) dbr:Chart_(topology) dbr:Compact_set dbr:Closed_subset dbr:Injective dbr:Relative_topology dbr:Schoenflies_theorem dbr:Topological_embedding dbr:File:Immersedsubmanifold_nonselfintersection.jpg dbr:File:Immersedsubmanifold_selfintersection.jpg
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Manifolds dbt:Authority_control dbt:Reflist dbt:Short_description
dct:subject	dbc:Differential_topology dbc:Manifolds
gold:hypernym	dbr:S
rdf:type	owl:Thing owl:Thing
rdfs:label	Submanifold (en) Untermannigfaltigkeit (de) 部分多様体 (ja) Deelvariëteit (nl) Subvariedade (pt) Подмногообразие (ru) Підмноговид (uk) 子流形 (zh)
owl:sameAs	yago-res:Submanifold freebase:Submanifold wikidata:Submanifold dbpedia-de:Submanifold dbpedia-nl:Submanifold dbpedia-ja:Submanifold dbpedia-pt:Submanifold dbpedia-ru:Submanifold dbpedia-zh:Submanifold dbpedia-uk:Submanifold dbpedia-global:Submanifold
prov:wasDerivedFrom	wikipedia-en:Submanifold?oldid=1183068696&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Immersedsubmanifold_nonselfintersection.jpg wiki-commons:Special:FilePath/Immersedsubmanifold_selfintersection.jpg
foaf:isPrimaryTopicOf	wikipedia-en:Submanifold
is dbo:wikiPageRedirects of	dbr:Embedded_submanifold dbr:Immersed_submanifold dbr:Regular_submanifold dbr:Slice_chart dbr:Slice_coordinate_system
is dbo:wikiPageWikiLink of	dbr:Distribution_(differential_geometry) dbr:Foliation dbr:Integrability_conditions_for_differential_systems dbr:Riemannian_manifold dbr:Local_flatness dbr:Cauchy_surface dbr:Borel–Moore_homology dbr:Inclusion_map dbr:Foundations_of_Differential_Geometry dbr:Darboux_frame dbr:Differentiable_manifold dbr:Maurer–Cartan_form dbr:Riemannian_connection_on_a_surface dbr:Triangulation_(topology) dbr:3-manifold dbr:John_Forbes_Nash_Jr. dbr:Chuu-Lian_Terng dbr:G._Peter_Scott dbr:Scott_core_theorem dbr:Dynamical_horizon dbr:Non-Euclidean_geometry dbr:Superstring_theory dbr:Dupin_hypersurface dbr:Diffiety dbr:Codimension dbr:Inverse_mean_curvature_flow dbr:Tangent_space dbr:Riemannian_submanifold dbr:Evolute dbr:Geometric_analysis dbr:Second_fundamental_form dbr:Errett_Bishop dbr:Laplace–Beltrami_operator dbr:Geometric_topology dbr:Jenny_Harrison dbr:Minkowski_space dbr:Bang-Yen_Chen dbr:Darboux's_theorem dbr:Vanya_Mirzoyan dbr:Web_(differential_geometry) dbr:Gerhard_Huisken dbr:Lebesgue_measure dbr:Manifold dbr:Tubular_neighborhood dbr:Semialgebraic_set dbr:Pseudo-Riemannian_manifold dbr:Symplectic_manifold dbr:Topological_group dbr:Ambient_isotopy dbr:De_Sitter_space dbr:Transversality_(mathematics) dbr:Prime_manifold dbr:Function_of_several_complex_variables dbr:Stein_manifold dbr:Gibbons–Hawking–York_boundary_term dbr:Riemannian_Penrose_inequality dbr:Topological_quantum_field_theory dbr:Linear_flow_on_the_torus dbr:Hilbert_manifold dbr:Polar_action dbr:Gauss_map dbr:Terence_Tao dbr:Embedding dbr:Osculating_plane dbr:Tangential_and_normal_components dbr:Digital_Morse_theory dbr:First_variation_of_area_formula dbr:Fisher_information_metric dbr:Local_diffeomorphism dbr:Clifford_torus dbr:Lie_groupoid dbr:Chern's_conjecture_for_hypersurfaces_in_spheres dbr:Shing-Tung_Yau dbr:Non-expanding_horizon dbr:Induced_metric dbr:Glossary_of_differential_geometry_and_topology dbr:Isoparametric_manifold dbr:Isolated_horizon dbr:Yoshie_Katsurada dbr:Taut_submanifold dbr:Differential_ideal dbr:Neat_submanifold dbr:Harmonic_morphism dbr:Quasi-sphere dbr:Normally_hyperbolic_invariant_manifold dbr:Statistical_manifold dbr:Subanalytic_set dbr:2-sided dbr:Whitney_conditions dbr:Whitney_disk dbr:Weyl's_tube_formula dbr:Exterior_calculus_identities dbr:Affine_focal_set dbr:Maximal_surface dbr:Projective_differential_geometry dbr:First_class_constraint dbr:Ambient_space dbr:Embedded_submanifold dbr:Immersed_submanifold dbr:Regular_submanifold dbr:Slice_chart dbr:Slice_coordinate_system
is gold:hypernym of	dbr:Riemannian_submanifold dbr:Stein_manifold dbr:Isoparametric_manifold
is foaf:primaryTopic of	wikipedia-en:Submanifold