SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE

DOI10.1017/S0017089509005187zbMath1167.53050OpenAlexW2034814189MaRDI QIDQ3633325

Qing-Ming Cheng, Haizhong Li, Yijun He

Publication date: 18 June 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089509005187

zbMATH Keywords

hypersurfacescalar curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items

The second pinching theorem for hypersurfaces with constant mean curvature in a sphere ⋮ A new characterization of the Clifford torus via scalar curvature pinching ⋮ SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN UNIT SPHERES ⋮ SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN SPHERES ⋮ CONSTANT MEAN CURVATURE HYPERSURFACES IN SPHERES

Cites Work

• Chern's conjecture on minimal hypersurfaces
• The scalar curvature of minimal hypersurfaces in spheres
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• A characterization of the Clifford torus
• Scalar curvature of minimal hypersurfaces in a sphere