A diameter sphere theorem for manifolds of positive Ricci curvature

DOI10.1007/BF02571925zbMath0831.53033OpenAlexW2074986677WikidataQ116280152 ScholiaQ116280152MaRDI QIDQ1895762

G. Ya. Perel'man

Publication date: 29 August 1995

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

Full work available at URL: https://eudml.org/doc/174750

zbMATH Keywords

Ricci curvaturetwisted sphere

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (7)

On radius, systole, and positive Ricci curvature ⋮ Smooth diameter and eigenvalue rigidity in positive Ricci curvature ⋮ Alexandrov spaces with large volume growth ⋮ Closed manifolds with small excess. ⋮ Ricci curvature and Betti numbers ⋮ Maximizing mean exit-time of the Brownian motion on Riemannian manifolds ⋮ First eigenvalue pinching for euclidean hypersurfaces via \(k\)-th mean curvatures

Cites Work

• On manifold of positive Ricci curvature with large diameter
• Metrics of positive Ricci curvature with large diameter
• Eigenvalue comparison theorems and its geometric applications
• A Pinching Theorem for Homotopy Spheres

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