A pinching problem on submanifolds with parallel mean curvature vector field in a sphere

DOI10.2996/kmj/1138043833zbMath0959.53035OpenAlexW1994166874WikidataQ125563147 ScholiaQ125563147MaRDI QIDQ1267469

Zhong Hua Hou

Publication date: 2 May 2001

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043833

zbMATH Keywords

parallel mean curvaturelength of the second fundamental formumbilical submanifold

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Minimal submanifolds in \(\mathbb{S}^{p-3}\) with constant scalar curvature

Cites Work

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• An intrinsic rigidity theorem for minimal submanifolds in a sphere
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• Submanifolds with parallel mean curvature vector in spheres
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• Minimal varieties in Riemannian manifolds
• Reduction of the codimension of an isometric immersion
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• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Submanifolds with Constant Mean Curvature II
• Hypersurfaces with Constant Mean Curvature in Spheres
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Submanifolds and a Pinching Problem on the Second Fundamental Tensors