Hypersurfaces with two distinct principal curvatures in a real space form

DOI10.1007/s00605-011-0330-4zbMath1238.53037OpenAlexW1998920690MaRDI QIDQ646613

Shichang Shu, San-Yang Liu

Publication date: 17 November 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0330-4

zbMATH Keywords

mean curvaturehypersurfacesprincipal curvaturetrace free tensor

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) Rigidity results (53C24)

Related Items

On the principal curvatures of complete minimal hypersurfaces in space forms

Cites Work

• Unnamed Item
• Hypersurface of the hyperbolic space with constant scalar curvature
• Complete hypersurfaces with constant mean curvature in a unit sphere
• Hypersurfaces with constant scalar curvature
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• HYPERSURFACES IN A UNIT SPHERE Sⁿ⁺¹(1) WITH CONSTANT SCALAR CURVATURE
• Hypersurfaces with Constant Mean Curvature in Spheres
• Complete hypersurfaces in a Euclidean space R^n+1
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
• Hypersurfaces with constant scalar curvature in space forms