A new pinching theorem for closed hypersurfaces with constant mean curvature in \(S^{n+1}\)

DOI10.4310/AJM.2011.v15.n4.a4zbMath1243.53104OpenAlexW2963555594MaRDI QIDQ428184

Hong-Wei Xu, Ling Tian

Publication date: 19 June 2012

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ajm/1331583350

zbMATH Keywords

second fundamental formscalar curvaturemean curvatureclosed hypersurfacepinching phenomenon

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

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