Submanifolds with parallel mean curvature vector in a sphere

DOI10.2996/kmj/1138043874zbMath0939.53035OpenAlexW2030151228MaRDI QIDQ1282085

Mei-Jiao Wang, Shi-jie Li

Publication date: 11 July 2000

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

Full work available at URL: https://doi.org/10.2996/kmj/1138043874

zbMATH Keywords

pinchingparallel mean curvature

Mathematics Subject Classification ID

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

Cites Work

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• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Submanifolds with parallel mean curvature vector in spheres
• Rigidity of compact submanifolds in a unit sphere
• Minimal varieties in Riemannian manifolds
• Hypersurfaces in a sphere with constant mean curvature
• Hypersurfaces with Constant Mean Curvature in Spheres
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length