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- Flat_manifold abstract "In mathematics, a Riemannian manifold is said to be flat if its curvature is everywhere zero. Intuitively, a flat manifold is one that "locally looks like" Euclidean space in terms of distances and angles, e.g. the interior angles of a triangle add up to 180°.The universal cover of a complete flat manifold is Euclidean space. This can be used to prove the theorem of Bieberbach (1911, 1912) that all compact flat manifolds are finitely covered by tori; the 3-dimensional case was proved earlier by Schoenflies (1891).".
- Flat_manifold wikiPageID "12756616".
- Flat_manifold wikiPageRevisionID "560499754".
- Flat_manifold authorlink "Ernest Vinberg".
- Flat_manifold first "E.B.".
- Flat_manifold hasPhotoCollection Flat_manifold.
- Flat_manifold id "c/c027190".
- Flat_manifold last "Vinberg".
- Flat_manifold title "Crystallographic group".
- Flat_manifold title "Flat Manifold".
- Flat_manifold urlname "FlatManifold".
- Flat_manifold subject Category:Riemannian_manifolds.
- Flat_manifold type Artifact100021939.
- Flat_manifold type Conduit103089014.
- Flat_manifold type Manifold103717750.
- Flat_manifold type Object100002684.
- Flat_manifold type Passage103895293.
- Flat_manifold type PhysicalEntity100001930.
- Flat_manifold type Pipe103944672.
- Flat_manifold type RiemannianManifolds.
- Flat_manifold type Tube104493505.
- Flat_manifold type Way104564698.
- Flat_manifold type Whole100003553.
- Flat_manifold type YagoGeoEntity.
- Flat_manifold type YagoPermanentlyLocatedEntity.
- Flat_manifold comment "In mathematics, a Riemannian manifold is said to be flat if its curvature is everywhere zero. Intuitively, a flat manifold is one that "locally looks like" Euclidean space in terms of distances and angles, e.g. the interior angles of a triangle add up to 180°.The universal cover of a complete flat manifold is Euclidean space.".
- Flat_manifold label "Flache Mannigfaltigkeit".
- Flat_manifold label "Flat manifold".
- Flat_manifold label "Varietà piatta".
- Flat_manifold label "Variété plate".
- Flat_manifold sameAs Flache_Mannigfaltigkeit.
- Flat_manifold sameAs Variété_plate.
- Flat_manifold sameAs Varietà_piatta.
- Flat_manifold sameAs m.02x3hrm.
- Flat_manifold sameAs Q601110.
- Flat_manifold sameAs Q601110.
- Flat_manifold sameAs Flat_manifold.
- Flat_manifold wasDerivedFrom Flat_manifold?oldid=560499754.
- Flat_manifold isPrimaryTopicOf Flat_manifold.