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

DOI10.1007/BF01163029zbMath0437.53046OpenAlexW2040421706MaRDI QIDQ5966508

Yoshio Matsuyama

Publication date: 1980

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 (1)

Submanifolds with commuting normal vector field

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

This page was built for publication: Minimal submanifolds in \(S^N\) and \(R^N\)