Rigidity theorems for closed hypersurfaces in space forms

DOI10.1093/QMATH/HAH018zbMath1085.53033OpenAlexW1973651428MaRDI QIDQ5708767

Qiaoling Wang, Chang-Yu Xia

Publication date: 21 November 2005

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/hah018

zbMATH Keywords

scalar curvatureRicci curvaturesectional curvaturespace formrigidity theorem

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Rigidity results (53C24)

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A sharp integral inequality for compact Weingarten hypersurfaces under an Okumura type inequality ⋮ COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY ⋮ A maximum principle for hypersurfaces with constant scalar curvature and applications ⋮ A survey on curvatures of Hessian manifolds ⋮ On hypersurfaces of spheres with two principal curvatures ⋮ RIGIDITY THEOREMS FOR HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN A UNIT SPHERE ⋮ Hypersurfaces with constant scalar curvature in space forms ⋮ A gap theorem for constant scalar curvature hypersurfaces

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