Complete hypersurfaces in a space form with three principal curvatures

DOI10.1007/BF01215336zbMath0465.53037MaRDI QIDQ1154693

Reiko Naka-Miyaoka

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/173149

zbMATH Keywords

completenessconstant mean curvatureminimal hypersurfacesisoparametric

Mathematics Subject Classification ID

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

Related Items (6)

Correction of complete hypersurfaces in the space form with three principal curvatures ⋮ Polyharmonic hypersurfaces into space forms ⋮ On Spherical Submanifolds with Nullity ⋮ On CMC hypersurfaces in \(\mathbb{S}^{n+1}\) with constant Gauß-Kronecker curvature ⋮ A class of compact complex surfaces with negative tangent bundle ⋮ On the tangent bundle of a hypersurface in a Riemannian manifold

Cites Work

• Unnamed Item
• Minimal hypersurfaces in the space form with three principal curvatures
• Completeness of curvature surfaces of an isometric immersion
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques

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