SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN UNIT SPHERES

DOI10.1142/S0129167X1100674XzbMath1226.53057MaRDI QIDQ3081482

Gangyi Chen, Haizhong Li

Publication date: 8 March 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

scalar curvatureconstant mean curvatureClifford hypersurfacepinching constants

Mathematics Subject Classification ID

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

Related Items (1)

A new characterization of the Clifford torus via scalar curvature pinching

Cites Work

• The scalar curvature of minimal hypersurfaces in spheres
• The rigidity of Clifford torus \(S^ 1(\sqrt{\frac1n})\times S^{n-1}(\sqrt{\frac{n-1}n})\)
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• The pinching constant of minimal hypersurfaces in the unit spheres
• SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• A characterization of the Clifford torus
• Mean curvature and shape operator of isometric immersions in real-space-forms
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Scalar curvature of minimal hypersurfaces in a sphere
• A pinching theorem for mimimal hypersurfaces in a sphere

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