Characterization of Totally Umbilical Hypersurfaces

DOI10.2307/2043484zbMath0461.53032OpenAlexW4238521004MaRDI QIDQ3911060

Thomas Hasanis

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043484

zbMATH Keywords

totally geodesicconstant mean curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Pinching Theorems of Simons Type for Complete Minimal Submanifolds in the Sphere ⋮ Conformally Flat Spaces and a Pinching Problem on the Ricci Tensor ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Isometric immersions of Riemannian manifolds
• Minimal varieties in Riemannian manifolds
• A formula of Simons' type and hypersurfaces with constant mean curvature
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Scalar Curvature, Inequality and Submanifold

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