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On Riemannian manifolds with \(\epsilon\)-maximal diameter and bounded curvature

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Publication:1204277
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DOI10.1007/BF02571808zbMath0764.53036OpenAlexW1965489232WikidataQ115391981 ScholiaQ115391981MaRDI QIDQ1204277

Zhong-min Shen

Publication date: 3 March 1993

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

Full work available at URL: https://eudml.org/doc/174413


zbMATH Keywords

total Betti numberclosed Riemannian \(n\)-manifolds


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)


Related Items

An excess sphere theorem ⋮ Manifolds with small excess and bounded curvature



Cites Work

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  • 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
  • Collapsing Riemannian manifolds while keeping their curvature bounded. I
  • Curvature, diameter and Betti numbers
  • Small excess and Ricci curvature
  • Eigenvalue comparison theorems and its geometric applications
  • Manifolds with small excess and bounded curvature
  • On Complete Manifolds With Nonnegative Ricci Curvature
  • A Sphere Theorem for Manifolds of Positive Ricci Curvature
  • A Diameter Pinching Sphere Theorem for Positive Ricci Curvature
  • A Pinching Theorem for Homotopy Spheres
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