RIGIDITY THEOREMS FOR HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN A UNIT SPHERE

DOI10.1017/S0017089507003527zbMath1139.53030OpenAlexW2013681702MaRDI QIDQ5756988

Guoxin Wei, Young Jin Suh

Publication date: 6 September 2007

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

Full work available at URL: https://doi.org/10.1017/s0017089507003527

zbMATH Keywords

scalar curvaturehypersurfacesquasi-umbilical

Mathematics Subject Classification ID

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

Related Items (6)

Rigidity of hypersurfaces with constant higher order mean curvature in space forms ⋮ 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 ⋮ Hypersurfaces with constant scalar curvature in space forms ⋮ A gap theorem for constant scalar curvature hypersurfaces

Cites Work

• Complete hypersurfaces with constant mean curvature in a unit sphere
• Rigidity theorem for hypersurfaces in a unit sphere
• Global rigidity theorems of hypersurfaces
• Hypersurfaces with constant scalar curvature
• Kähler submanifolds whose Ricci curvature is bounded from below
• 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
• Rigidity theorems for closed hypersurfaces in space forms

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