A comparison-estimate of Toponogov type for Ricci curvature

DOI10.1007/BF01460991zbMath0834.53035MaRDI QIDQ1907192

Xianzhe Dai, Guofang Wei

Publication date: 1 February 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165369

zbMATH Keywords

Toponogov comparison theorembounded Ricci curvaturesmall hinges

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (12)

Rapid mixing of geodesic walks on manifolds with positive curvature ⋮ Comparison theory of distance spheres along geodesics ⋮ A topological rigidity theorem on open manifolds with nonnegative Ricci curvature ⋮ Negative Ricci curvature and isometry group ⋮ An extension of Bonnet-Myers theorem ⋮ A comparison-estimate of the second Rauch type for Ricci curvature ⋮ Some sharp isoperimetric-type inequalities on Riemannian manifolds ⋮ Extension of Bishop-Gromov volume comparison theorem by elliptic operators ⋮ A parametrized compactness theorem under bounded Ricci curvature ⋮ Comparison geometry for an extension of Ricci tensor ⋮ Closed manifolds with small excess. ⋮ Ricci curvature and Betti numbers

Cites Work

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• Examples of manifolds of positive Ricci curvature
• \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below
• Ricci curvature and Betti numbers
• Negative Ricci curvature and isometry group
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Finiteness and vanishing theorems for complete open Riemannian manifolds
• On Complete Manifolds With Nonnegative Ricci Curvature

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