Submanifolds with parallel normalized mean curvature vector in a unit sphere

DOI10.1007/s00013-011-0232-7zbMath1215.53057OpenAlexW2069157561MaRDI QIDQ535135

Yun-tao Zhang, Jing Zhuang

Publication date: 11 May 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0232-7

zbMATH Keywords

Clifford torussubmanifoldsmean curvature vector

Mathematics Subject Classification ID

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

Related Items

Spacelike submanifolds with parallel mean curvature vector in \(S_{q}^{n+p}(1)\) ⋮ Homology vanishing theorems for pinched submanifolds ⋮ Polynomial Vector Fields on the Clifford Torus

Cites Work

• Submanifolds with parallel mean curvature vector in spheres
• Chern's conjecture on minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Rigidity theorems for closed hypersurfaces in a unit sphere
• A characterization of the Clifford torus
• Hypersurfaces with Constant Mean Curvature in Spheres
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Hypersurfaces with constant scalar curvature in space forms
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