Differentiable sphere theorems for Ricci curvature

DOI10.1007/BF02572402zbMath0844.53028WikidataQ125582766 ScholiaQ125582766MaRDI QIDQ1323441

Gregório Pacelli Bessa

Publication date: 27 August 1996

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

Full work available at URL: https://eudml.org/doc/174566

zbMATH Keywords

injectivity radiusdiameter and eigenvalue sphere theoremsRicci curvature bounds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

An excess sphere theorem ⋮ Smooth diameter and eigenvalue rigidity in positive Ricci curvature

Cites Work

• Unnamed Item
• Diameter, volume, and topology for positive Ricci curvature
• On manifold of positive Ricci curvature with large diameter
• Metrics of positive Ricci curvature with large diameter
• Convergence and rigidity of manifolds under Ricci curvature bounds
• Small excess and Ricci curvature
• \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below
• Eigenvalue comparison theorems and its geometric applications
• An eigenvalue pinching theorem
• On the smoothness of isometries
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Some isoperimetric inequalities and eigenvalue estimates
• Some regularity theorems in riemannian geometry

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