Ricci flow
In differential geometry, Ricci flow is the flow of Riemannian metrics given by the equation
where g is the metric and Ric is the Ricci curvature.
Richard Hamilton first considered this flow in 1981, showing that any 3-manifold which admits a metric of positive curvature, admits a metric of constant curvature as well.
It can be used to prove various important results, like the uniformization theorem or possibly the Thurston's conjecture, which includes the famous Poincaré conjecture.
Referenced By
Grigori Perelman | List of differential geometry topics | List of mathematical topics (P-R) | Ricci-curvature | Ricci curvature | Ricci curvature tensor | Ricci tensor | Richard Hamilton | Thurston's Geometrization Conjecture | Thurston's conjecture
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