KnowraRicci flowLinked fromLinked fromThe 8 pages that link to Ricci flow, each with the reason it gives.All 8Broader topic 1Related 7Poincaré conjectureRelated: Hamilton’s flow deforms three-dimensional geometry toward canonical shapes relevant to the conjecture.Ricci curvatureRelated: The flow uses Ricci curvature to smooth and reshape geometric irregularities.Grigori PerelmanRelated: Perelman used this process to smooth three-dimensional geometries before analyzing their topology.Millennium Prize ProblemsRelated: Perelman used Ricci flow to prove the Poincaré conjecture.Geometrization conjectureRelated: Perelman used it to evolve 3-manifold metrics toward geometrically meaningful forms.Parabolic partial differential equationRelated: It is a nonlinear geometric example of parabolic-type evolution.3-sphereRelated: It was central to proving the Poincaré conjecture for closed 3-manifolds.