A rigidity phenomenon on Riemannian manifolds with reverse excess pinching

DOI10.1007/s11401-007-0435-1zbMath1184.53041OpenAlexW2094451321WikidataQ115379524 ScholiaQ115379524MaRDI QIDQ1044794

Peihe Wang, Chun-li Shen

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-007-0435-1

zbMATH Keywords

harmonic radiusHausdorff convergencedifferentiable sphere theoremvolume comparison theoremharmonic coordinate

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)

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A differentiable sphere theorem with positive Ricci curvature and reverse volume pinching

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