Minimal submanifolds in \(S^N\) and \(R^N\)

DOI10.1007/BF01163029zbMath0431.53052OpenAlexW2040421706MaRDI QIDQ5904323

Yoshio Matsuyama

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173039

zbMATH Keywords

second fundamental formtotally geodesicparallelminimal submanifoldsprincipal curvatures

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (3)

Notes on Fourier analysis. XXXV ⋮ On a Kaehler hypersurface with the cyclic Ricci semi-symmetric tensor ⋮ Minimal immersions into space forms with two principal curvatures

Cites Work

• Compact minimal submanifolds of a sphere with positive Ricci curvature
• Minimal varieties in Riemannian manifolds
• Homogeneity and some curvature conditions for hypersurfaces
• Hypersurfaces with parallel Ricci tensor
• Geometric applications of critical point theory to submanifolds of complex projective space
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Unnamed Item

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