Diameter estimate of the manifolds with positive Ricci curvature and reverse volume pinching

DOI10.1016/J.DIFGEO.2013.11.002zbMath1287.53029OpenAlexW2043456909WikidataQ115356418 ScholiaQ115356418MaRDI QIDQ389346

Shujuan Jia, Peihe Wang

Publication date: 20 January 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.11.002

zbMATH Keywords

Ricci curvaturediameterGromov-Hausdorff convergencesphere theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Manifolds near the boundary of existence
• Rigidity and sphere theorem for manifolds with positive Ricci curvature
• A note on pinching sphere theorem.
• A Sphere Theorem for Reverse Volume Pinching on Even-Dimensional Manifolds

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