Rigidity theorem for complete spacelike hypersurfaces with constant scalar curvature in Lorentz spaces

DOI10.1007/s11856-011-0155-9zbMath1258.53065OpenAlexW2055066868MaRDI QIDQ1760351

Shicheng Zhang

Publication date: 13 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0155-9

zbMATH Keywords

Lorentz spacespace-like hypersurfacerigidity theorem

Mathematics Subject Classification ID

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

Cites Work

• Complete space-like hypersurfaces in locally symmetric Lorentz spaces
• Global rigidity theorems of hypersurfaces
• Hypersurfaces with constant scalar curvature
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
• On spacelike hypersurfaces with constant scalar curvature in the de Sitter space
• Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in de Sitter space
• Isometric immersions of Riemannian manifolds
• On maximal spacelike hypersurfaces in a Lorentzian manifold
• An Estimate on the Ricci Curvature of a Submanifold and Some Applications
• Harmonic functions on complete riemannian manifolds
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
• Hypersurfaces with constant scalar curvature in space forms
• A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space
• Complete space-like hypersurfaces with constant scalar curvature

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