Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Geometrization_conjecture> ?p ?o }
- Geometrization_conjecture abstract "In mathematics, Thurston's geometrization conjecture states that certain three-dimensional topological spaces each have a unique geometric structure that can be associated with them. It is an analogue of the uniformization theorem for two-dimensional surfaces, which states that every simply-connected Riemann surface can be given one of three geometries (Euclidean, spherical, or hyperbolic).In three dimensions, it is not always possible to assign a single geometry to a whole topological space. Instead, the geometrization conjecture states that every closed 3-manifold can be decomposed in a canonical way into pieces that each have one of eight types of geometric structure. The conjecture was proposed by William Thurston (1982), and implies several other conjectures, such as the Poincaré conjecture and Thurston's elliptization conjecture. Thurston's hyperbolization theorem implies that Haken manifolds satisfy the geometrization conjecture. Thurston announced a proof in the 1980s and since then several complete proofs have appeared in print.Grigori Perelman sketched a proof of the full geometrization conjecture in 2003 using Ricci flow with surgery.There are now several different manuscripts (see below) with details of the proof. The Poincaré conjecture and the spherical space form conjecture are corollaries of the geometrization conjecture, although there are shorter proofs of the former that do not lead to the geometrization conjecture.".
- Geometrization_conjecture wikiPageExternalLink item=CMIM-5.
- Geometrization_conjecture wikiPageExternalLink item=ulect-53.
- Geometrization_conjecture wikiPageExternalLink gt3m.
- Geometrization_conjecture wikiPageExternalLink 0211159.
- Geometrization_conjecture wikiPageExternalLink 0303109.
- Geometrization_conjecture wikiPageExternalLink 0307245.
- Geometrization_conjecture wikiPageExternalLink 0605667.
- Geometrization_conjecture wikiPageExternalLink 0612069.
- Geometrization_conjecture wikiPageExternalLink threemanifolds.
- Geometrization_conjecture wikiPageExternalLink book.pdf.
- Geometrization_conjecture wikiPageExternalLink S0273-0979-04-01045-6.pdf.
- Geometrization_conjecture wikiPageExternalLink Quadern25-1.pdf.
- Geometrization_conjecture wikiPageExternalLink AJM-10-2-165-492-Abstract.php.
- Geometrization_conjecture wikiPageExternalLink 3M.pdf.
- Geometrization_conjecture wikiPageExternalLink 8geoms.pdf.
- Geometrization_conjecture wikiPageExternalLink errata8geoms.pdf.
- Geometrization_conjecture wikiPageID "220642".
- Geometrization_conjecture wikiPageLength "27457".
- Geometrization_conjecture wikiPageOutDegree "84".
- Geometrization_conjecture wikiPageRevisionID "670617132".
- Geometrization_conjecture wikiPageWikiLink 2-sphere.
- Geometrization_conjecture wikiPageWikiLink 3-manifold.
- Geometrization_conjecture wikiPageWikiLink 3-sphere.
- Geometrization_conjecture wikiPageWikiLink Anosov_diffeomorphism.
- Geometrization_conjecture wikiPageWikiLink Anosov_map.
- Geometrization_conjecture wikiPageWikiLink Atoroidal.
- Geometrization_conjecture wikiPageWikiLink Bianchi_classification.
- Geometrization_conjecture wikiPageWikiLink Bruce_Kleiner.
- Geometrization_conjecture wikiPageWikiLink Category:3-manifolds.
- Geometrization_conjecture wikiPageWikiLink Category:Conjectures.
- Geometrization_conjecture wikiPageWikiLink Category:Geometric_topology.
- Geometrization_conjecture wikiPageWikiLink Category:Riemannian_geometry.
- Geometrization_conjecture wikiPageWikiLink Connected_sum.
- Geometrization_conjecture wikiPageWikiLink Dehn_surgery.
- Geometrization_conjecture wikiPageWikiLink Dehn_twist.
- Geometrization_conjecture wikiPageWikiLink Elliptization_conjecture.
- Geometrization_conjecture wikiPageWikiLink Euclidean_geometry.
- Geometrization_conjecture wikiPageWikiLink Fields_Medal.
- Geometrization_conjecture wikiPageWikiLink G._Peter_Scott.
- Geometrization_conjecture wikiPageWikiLink Graph_manifold.
- Geometrization_conjecture wikiPageWikiLink Grigori_Perelman.
- Geometrization_conjecture wikiPageWikiLink Haken_manifold.
- Geometrization_conjecture wikiPageWikiLink Heisenberg_group.
- Geometrization_conjecture wikiPageWikiLink Homology_sphere.
- Geometrization_conjecture wikiPageWikiLink Hyperbolic_geometry.
- Geometrization_conjecture wikiPageWikiLink Hyperbolic_surface.
- Geometrization_conjecture wikiPageWikiLink Hyperbolization_theorem.
- Geometrization_conjecture wikiPageWikiLink Index_of_a_subgroup.
- Geometrization_conjecture wikiPageWikiLink JSJ_decomposition.
- Geometrization_conjecture wikiPageWikiLink John_Morgan_(mathematician).
- Geometrization_conjecture wikiPageWikiLink Laurent_Bessières.
- Geometrization_conjecture wikiPageWikiLink Lens_space.
- Geometrization_conjecture wikiPageWikiLink Lie_group.
- Geometrization_conjecture wikiPageWikiLink Mapping_torus.
- Geometrization_conjecture wikiPageWikiLink Orientability.
- Geometrization_conjecture wikiPageWikiLink Orientable_double_cover.
- Geometrization_conjecture wikiPageWikiLink PDF.
- Geometrization_conjecture wikiPageWikiLink Poincare_dodecahedral_space.
- Geometrization_conjecture wikiPageWikiLink Poincaré_conjecture.
- Geometrization_conjecture wikiPageWikiLink Poincaré_homology_sphere.
- Geometrization_conjecture wikiPageWikiLink Portable_Document_Format.
- Geometrization_conjecture wikiPageWikiLink Prime_decomposition_(3-manifold).
- Geometrization_conjecture wikiPageWikiLink Ricci_curvature.
- Geometrization_conjecture wikiPageWikiLink Ricci_flow.
- Geometrization_conjecture wikiPageWikiLink Ricci_flow_with_surgery.
- Geometrization_conjecture wikiPageWikiLink Richard_Hamilton_(mathematician).
- Geometrization_conjecture wikiPageWikiLink Richard_Hamilton_(professor).
- Geometrization_conjecture wikiPageWikiLink Riemann_surface.
- Geometrization_conjecture wikiPageWikiLink SL2(R).
- Geometrization_conjecture wikiPageWikiLink Seifert_fiber_space.
- Geometrization_conjecture wikiPageWikiLink Seifert_manifold.
- Geometrization_conjecture wikiPageWikiLink Seifert–Weber_space.
- Geometrization_conjecture wikiPageWikiLink Simply_connected.
- Geometrization_conjecture wikiPageWikiLink Simply_connected_space.
- Geometrization_conjecture wikiPageWikiLink Sphere.
- Geometrization_conjecture wikiPageWikiLink Spherical_3-manifold.
- Geometrization_conjecture wikiPageWikiLink Spherical_geometry.
- Geometrization_conjecture wikiPageWikiLink Spherical_space_form_conjecture.
- Geometrization_conjecture wikiPageWikiLink Surface.
- Geometrization_conjecture wikiPageWikiLink Surfaces.
- Geometrization_conjecture wikiPageWikiLink Surgery_theory.
- Geometrization_conjecture wikiPageWikiLink Thick-thin_decomposition.
- Geometrization_conjecture wikiPageWikiLink Three-torus.
- Geometrization_conjecture wikiPageWikiLink Thurston_elliptization_conjecture.
- Geometrization_conjecture wikiPageWikiLink Topological_space.
- Geometrization_conjecture wikiPageWikiLink Torus_bundle.
- Geometrization_conjecture wikiPageWikiLink Uniformization_theorem.
- Geometrization_conjecture wikiPageWikiLink Weeks_manifold.
- Geometrization_conjecture wikiPageWikiLinkText "3-dimensional model geometry".
- Geometrization_conjecture wikiPageWikiLinkText "8 geometries".
- Geometrization_conjecture wikiPageWikiLinkText "Geometrization conjecture".
- Geometrization_conjecture wikiPageWikiLinkText "Geometrization conjecture#Nil geometry".
- Geometrization_conjecture wikiPageWikiLinkText "Geometrization conjecture#Solv geometry".
- Geometrization_conjecture wikiPageWikiLinkText "Geometrization conjecture#The eight Thurston geometries".
- Geometrization_conjecture wikiPageWikiLinkText "Geometrization program".
- Geometrization_conjecture wikiPageWikiLinkText "Geometrization theorem".
- Geometrization_conjecture wikiPageWikiLinkText "Thurston geometries".
- Geometrization_conjecture wikiPageWikiLinkText "Thurston geometry".
- Geometrization_conjecture wikiPageWikiLinkText "Thurston program".