KnowraRicci curvatureLinked fromLinked fromThe 12 pages that link to Ricci curvature, each with the reason it gives.All 12Broader topic 5Related 7Poincaré conjectureRelated: Ricci curvature determines the direction and rate of change in Ricci flow.Grigori PerelmanRelated: Ricci curvature is the geometric quantity driving the flow Hamilton introduced.Raychaudhuri equationRelated: The Ricci term determines how matter and curvature directly focus the congruence.Shing-Tung YauRelated: The Calabi conjecture prescribes the Ricci curvature of a Kähler metric through its volume form.Gromov's compactness theoremRelated: Ricci curvature bounds often combine with diameter bounds to control geometric limits.Cartan–Hadamard conjectureRelated: It offers a broader curvature condition often used in volume comparison, unlike the conjecture's sectional bound.Myers's theoremRelated: The theorem requires a uniform positive lower bound on this curvature.