Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Thurston_elliptization_conjecture> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- Thurston_elliptization_conjecture abstract "William Thurston's elliptization conjecture states that a closed 3-manifold with finite fundamental group is spherical, i.e. has a Riemannian metric of constant positive sectional curvature. A 3-manifold with such a metric is covered by the 3-sphere, moreover the group of covering transformations are isometries of the 3-sphere. Note that this means that if the original 3-manifold had in fact a trivial fundamental group, then it is homeomorphic to the 3-sphere (via the covering map). Thus, proving the elliptization conjecture would prove the Poincaré conjecture as a corollary. In fact, the elliptization conjecture is logically equivalent to two simpler conjectures: the Poincaré conjecture and the spherical space form conjecture.The elliptization conjecture is a special case of Thurston's geometrization conjecture, which was proved in 2003 by G. Perelman.".
- Thurston_elliptization_conjecture wikiPageExternalLink gt3m.
- Thurston_elliptization_conjecture wikiPageID "235954".
- Thurston_elliptization_conjecture wikiPageRevisionID "577000038".
- Thurston_elliptization_conjecture hasPhotoCollection Thurston_elliptization_conjecture.
- Thurston_elliptization_conjecture subject Category:3-manifolds.
- Thurston_elliptization_conjecture subject Category:Conjectures.
- Thurston_elliptization_conjecture subject Category:Riemannian_geometry.
- Thurston_elliptization_conjecture type Abstraction100002137.
- Thurston_elliptization_conjecture type Cognition100023271.
- Thurston_elliptization_conjecture type Concept105835747.
- Thurston_elliptization_conjecture type Conjectures.
- Thurston_elliptization_conjecture type Content105809192.
- Thurston_elliptization_conjecture type Hypothesis105888929.
- Thurston_elliptization_conjecture type Idea105833840.
- Thurston_elliptization_conjecture type PsychologicalFeature100023100.
- Thurston_elliptization_conjecture type Speculation105891783.
- Thurston_elliptization_conjecture comment "William Thurston's elliptization conjecture states that a closed 3-manifold with finite fundamental group is spherical, i.e. has a Riemannian metric of constant positive sectional curvature. A 3-manifold with such a metric is covered by the 3-sphere, moreover the group of covering transformations are isometries of the 3-sphere. Note that this means that if the original 3-manifold had in fact a trivial fundamental group, then it is homeomorphic to the 3-sphere (via the covering map).".
- Thurston_elliptization_conjecture label "Elliptisatievermoeden van Thurston".
- Thurston_elliptization_conjecture label "Thurston elliptization conjecture".
- Thurston_elliptization_conjecture sameAs Elliptisatievermoeden_van_Thurston.
- Thurston_elliptization_conjecture sameAs m.01j836.
- Thurston_elliptization_conjecture sameAs Q13605872.
- Thurston_elliptization_conjecture sameAs Q13605872.
- Thurston_elliptization_conjecture sameAs Thurston_elliptization_conjecture.
- Thurston_elliptization_conjecture wasDerivedFrom Thurston_elliptization_conjecture?oldid=577000038.
- Thurston_elliptization_conjecture isPrimaryTopicOf Thurston_elliptization_conjecture.