On totally umbilical submanifolds of \(S^{n+p}\)

DOI10.1007/BF02773565zbMath0963.53030OpenAlexW2035348078MaRDI QIDQ1567338

Hua Fei Sun

Publication date: 24 July 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773565

zbMATH Keywords

pseudo-umbilical submanifoldRicci curvature pinchingscalar curvature pinchingsectional curvature pinching

Mathematics Subject Classification ID

Global submanifolds (53C40)

Cites Work

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• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Compact minimal submanifolds of a sphere with positive Ricci curvature
• Pseudo-umbilical submanifolds of a space form \(N^{n+p}(C)\)
• Totally real pseudo-umbilical submanifolds of a complex projective space
• Submanifolds with Constant Mean Curvature II
• Totally real pseudo-umbilical submanifolds of a quaternion space form
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length