Minimal hypersurfaces in the space form with three principal curvatures

DOI10.1007/BF01214769zbMath0416.53030MaRDI QIDQ754497

Reiko Naka-Miyaoka

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/172906

zbMATH Keywords

space formminimal hypersurfacescurvature distributionsthree principal curvatures

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Correction of complete hypersurfaces in the space form with three principal curvatures, Complete hypersurfaces in a space form with three principal curvatures, Hypersurfaces with parallel para‐Laguerre tensor in, Classification of \(\eta \)-biharmonic surfaces in non-flat Lorentz space forms, Submanifolds with commuting normal vector field

Cites Work

• Unnamed Item
• Minimal hypersurfaces with three principal curvature fields in \(S^{+1}\)
• Remarks on closed minimal submanifolds in the standard Riemannian m- sphere
• Local rigidity theorems for minimal hypersurfaces
• Minimal submanifolds of low cohomogeneity
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature