Rigidity theorem of hypersurfaces with constant scalar curvature in a unit sphere

DOI10.1007/S10114-005-0858-0zbMath1121.53039OpenAlexW2097667489MaRDI QIDQ2644337

Guoxin Wei

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0858-0

zbMATH Keywords

Clifford torusprincipal curvatureGauss equations

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Rotational hypersurfaces of space forms with constant scalar curvature
• Global rigidity theorems of hypersurfaces
• Hypersurfaces with constant scalar curvature
• Hypersurfaces of the Euclidean sphere with nonnegative Ricci curvature
• Local rigidity theorems for minimal hypersurfaces
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• HYPERSURFACES IN A UNIT SPHERE Sⁿ⁺¹(1) WITH CONSTANT SCALAR CURVATURE
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Hypersurfaces with constant scalar curvature in space forms

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