SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN SPHERES

DOI10.1017/S0017089511000358zbMath1254.53094MaRDI QIDQ3116835

Qin Zhang

Publication date: 12 February 2012

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

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

• A generalization of Gauchman's rigidity theorem
• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Hypersurfaces with constant scalar curvature
• A rigidity theorem for submanifolds with parallel mean curvature in a sphere
• Chern's conjecture on minimal hypersurfaces
• 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
• Submanifolds with Constant Mean Curvature
• A characterization of the Clifford torus
• On Closed Minimal Submanifolds in Pinched Riemannian Manifolds
• Scalar curvature of minimal hypersurfaces in a sphere
• A pinching theorem for mimimal hypersurfaces in a sphere

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