Rigidity of compact submanifolds in a unit sphere

DOI10.2996/KMJ/1138043355zbMath0835.53070OpenAlexW2033645292MaRDI QIDQ1902053

Guanghua Chen, Xiaorong Zou

Publication date: 31 March 1996

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

Full work available at URL: https://doi.org/10.2996/kmj/1138043355

zbMATH Keywords

second fundamental formVeronese surfaceunit spherecompact submanifoldimmersed manifoldtotally geodesic sphere

Mathematics Subject Classification ID

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

Related Items (2)

Rigidity of submanifolds in the Euclidean and spherical spaces ⋮ Submanifolds with parallel mean curvature vector in a sphere

Cites Work

• Unnamed Item
• Minimal varieties in Riemannian manifolds
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Submanifolds with Constant Mean Curvature II

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