\(L^{n/2}\) pinching theorem for submanifolds with parallel mean curvature in \(\mathbb H^{n+p}(-1)\)

DOI10.4310/PAMQ.2012.v8.n4.a13zbMath1261.53056MaRDI QIDQ1940461

Minyong He, Fei Huang, Hong-Wei Xu, Juan-Ru Gu

Publication date: 7 March 2013

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

zbMATH Keywords

second fundamental formmean curvatureSobolev inequalitygap theoremcomplete submanifolds

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

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Gap theorems for submanifolds in \(\mathbb{H}^n\times\mathbb{R}\) ⋮ A gap theorem for complete submanifolds with parallel mean curvature in the hyperbolic space

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