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In mathematics, a space form is a complete Riemannian manifold M of constant sectional curvature K. The three most fundamental examples are Euclidean n-space, the n-dimensional sphere, and hyperbolic space, although a space form need not be simply connected.

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rdf:type	place yago:WikicatConjectures yago:Abstraction100002137 yago:Cognition100023271 yago:Concept105835747 yago:Content105809192 yago:Hypothesis105888929 yago:Idea105833840 yago:PsychologicalFeature100023100 yago:Speculation105891783
rdfs:label	Forma espacial (es) Space form (en) Пространственная форма (ru)
rdfs:comment	En matemáticas, una forma espacial es una variedad riemanniana completa de . Los tres ejemplos obvios son el espacio euclídeo, la esfera n-dimensional y el espacio hiperbólico, si bien una forma espacial no tiene por qué ser simplemente conexa. (es) In mathematics, a space form is a complete Riemannian manifold M of constant sectional curvature K. The three most fundamental examples are Euclidean n-space, the n-dimensional sphere, and hyperbolic space, although a space form need not be simply connected. (en) Пространственная форма — связное полное риманово многообразие постоянной секционной кривизны . Пространственная форма называется сферической, евклидовой или гиперболической если соответственно , , . С помощью перенормировки метрики классификацию пространственных форм можно свести к трём случаям: . (ru)
dct:subject	Conjectures Riemannian geometry
Wikipage page ID	1087009 (xsd:integer)
Wikipage revision ID	1067818386 (xsd:integer)
Link from a Wikipage to another Wikipage	Conjectures Complete space Mathematics N-sphere Constant curvature Fuchsian group Fundamental group Euclidean space Killing–Hopf theorem Simply connected space Riemannian manifold Riemannian metric Group (mathematics) Isometry Hyperbolic space Riemannian geometry Discrete space Dover Publications Borel conjecture Springer Science+Business Media Kleinian group Sectional curvature Universal cover Properly discontinuous Crystallographic group
sameAs	Space form Space form Space form Space form Space form Space form
dbp:wikiPageUsesTemplate	dbt:Citation
has abstract	En matemáticas, una forma espacial es una variedad riemanniana completa de . Los tres ejemplos obvios son el espacio euclídeo, la esfera n-dimensional y el espacio hiperbólico, si bien una forma espacial no tiene por qué ser simplemente conexa. (es) In mathematics, a space form is a complete Riemannian manifold M of constant sectional curvature K. The three most fundamental examples are Euclidean n-space, the n-dimensional sphere, and hyperbolic space, although a space form need not be simply connected. (en) Пространственная форма — связное полное риманово многообразие постоянной секционной кривизны . Пространственная форма называется сферической, евклидовой или гиперболической если соответственно , , . С помощью перенормировки метрики классификацию пространственных форм можно свести к трём случаям: . (ru)
gold:hypernym	M
prov:wasDerivedFrom	wikipedia-en:Space_form?oldid=1067818386&ns=0
page length (characters) of wiki page	2444 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Space_form
is rdfs:seeAlso of	Constant curvature
is Link from a Wikipage to another Wikipage of	Scalar curvature List of differential geometry topics Biharmonic map Ricci curvature Ricci flow Richard S. Hamilton Dupin hypersurface Cheng's eigenvalue comparison theorem Constant curvature Shoshichi Kobayashi Clifford–Klein form Kulkarni–Nomizu product Peter Kramer (physicist) Bang-Yen Chen Eugenio Calabi Killing–Hopf theorem Riemann curvature tensor Harold Rosenberg (mathematician) Codazzi tensor Cartan–Ambrose–Hicks theorem Shing-Tung Yau Hinge theorem Flat manifold Taut submanifold Sectional curvature Space form problem Space forms
is Wikipage redirect of	Space form problem Space forms
is foaf:primaryTopic of	wikipedia-en:Space_form

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