KnowraGeometrization conjectureLinked fromLinked fromThe 7 pages that link to Geometrization conjecture, each with the reason it gives.All 7Related 5Narrower topic 2Poincaré conjectureNarrower topic: The Poincaré conjecture follows as a special case of geometrization.Ricci flowRelated: Hamilton developed Ricci flow as a possible route to proving geometrization.William ThurstonRelated: This conjecture is Thurston’s signature program and frames his influence on three-dimensional topology.Grigori PerelmanNarrower topic: Perelman’s Ricci-flow work established geometrization, which includes the Poincaré conjecture as a special case.3-manifoldRelated: Its proof by Perelman gives a structural framework for understanding 3-manifolds.3-sphereRelated: Spherical geometry is one of the geometries used to classify 3-manifolds.Mostow rigidity theoremRelated: The theorem supplies uniqueness for hyperbolic pieces in three-dimensional geometry.