Manifolds with small excess and bounded curvature

DOI10.1007/BF02571677zbMath0791.53047OpenAlexW2076312388MaRDI QIDQ1319309

Shun-Hui Zhu, Peter V Petersen, Zhong-min Shen

Publication date: 28 July 1994

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

Full work available at URL: https://eudml.org/doc/174506

zbMATH Keywords

sphere theoremsfibration theorems

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

An excess sphere theorem ⋮ On radius, systole, and positive Ricci curvature ⋮ On Riemannian manifolds with \(\epsilon\)-maximal diameter and bounded curvature

Cites Work

• Manifolds near the boundary of existence
• A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Small excess and Ricci curvature
• On Riemannian manifolds with \(\epsilon\)-maximal diameter and bounded curvature
• On Manifolds of Small Excess
• An excess sphere theorem
• A Pinching Theorem for Homotopy Spheres
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