Minimal hypersurfaces with three principal curvature fields in \(S^{+1}\)

DOI10.2996/KMJ/1138035438zbMath0381.53032OpenAlexW2038210345MaRDI QIDQ1248243

Tominosuke Otsuki

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2996/kmj/1138035438

Mathematics Subject Classification ID

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

Related Items (4)

Dupin hypersurfaces with constant Laguerre curvatures ⋮ Classification of \(\eta \)-biharmonic surfaces in non-flat Lorentz space forms ⋮ Submanifolds with commuting normal vector field ⋮ Minimal hypersurfaces in the space form with three principal curvatures

Cites Work

• A theory of Riemannian submanifolds
• Pseudo-umbilical submanifolds with $M$-index $łeq 1$ in Euclidean spaces
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature

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