A Diameter Pinching Sphere Theorem for Positive Ricci Curvature

DOI10.2307/2048180zbMath0676.53045OpenAlexW4241226045MaRDI QIDQ3831623

Jyh-Yang Wu

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048180

zbMATH Keywords

volumeRicci curvaturediametersectional curvaturepinchingsphere theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (10)

On manifold of positive Ricci curvature with large diameter ⋮ Small excess and Ricci curvature ⋮ Extrinsic radius pinching in space forms of nonnegative sectional curvature ⋮ Extrinsic radius pinching for hypersurfaces of space forms ⋮ Smooth diameter and eigenvalue rigidity in positive Ricci curvature ⋮ On Riemannian manifolds with \(\epsilon\)-maximal diameter and bounded curvature ⋮ Closed manifolds with small excess. ⋮ A Pinching Theorem for Homotopy Spheres ⋮ A convergence theorem for Riemannian manifolds and some applications ⋮ A new result on the pinching of the first eigenvalue of the Laplacian and the Dirichlet diameter conjecture

Cites Work

• Unnamed Item
• The topology of certain Riemannian manifolds with positive Ricci curvature
• Curvature, diameter and Betti numbers
• Eigenvalue comparison theorems and its geometric applications
• A generalized sphere theorem
• Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung
• Riemannian manifolds with positive mean curvature
• A Sphere Theorem for Manifolds of Positive Ricci Curvature

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