On complete spacelike hypersurfaces with constant scalar curvature in the de Sitter space

DOI10.1590/S0001-37652000000400001zbMath1031.53095WikidataQ125020565 ScholiaQ125020565MaRDI QIDQ4763076

Antonio Gervásio Colares, Aldir Brasil Junior

Publication date: 3 May 2001

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

de Sitter spacehyperbolic cylinderspacelike hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

The Riemannian product structures of spacelike hypersurfaces with constant \(k\)-th mean curvature in the de Sitter spaces ⋮ On spacelike hypersurfaces with constant scalar curvature in the de Sitter space ⋮ A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space

Cites Work

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• Global rigidity theorems of hypersurfaces
• Hypersurfaces with constant scalar curvature
• Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
• Stable hypersurfaces with constant scalar curvature
• Spacelike hypersurfaces with constant scalar curvature
• On space-like hypersurfaces in the de Sitter space
• A characterization of hyperbolic cylinders in the de Sitter space
• Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces
• Isometric immersions of Riemannian manifolds
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor

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