KnowraPoincaré conjectureLinked fromLinked fromThe 12 pages that link to Poincaré conjecture, each with the reason it gives.All 12Broader topic 5Related 7ManifoldRelated: Its resolution classified a fundamental case of how global manifold topology can be constrained.Ricci flowRelated: Its proof became Ricci flow’s most famous achievement.Grigori PerelmanRelated: This is the conjecture Perelman proved.Saint Petersburg State UniversityRelated: Perelman, a university alumnus, proved this conjecture in the early twenty-first century.Geometric analysisRelated: Ricci flow with surgery supplied the analytic route to its proof.3-manifoldRelated: It resolves a fundamental question about recognizing the 3-sphere among 3-manifolds.3-sphereRelated: It characterizes the 3-sphere through a striking condition on three-dimensional spaces.