Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space H 1 n+1 (−1)

DOI10.1007/S10587-009-0024-4zbMath1224.53038OpenAlexW2169397820MaRDI QIDQ3070127

Guoxin Wei, Qiuli Liu, Young Jin Suh

Publication date: 2 February 2011

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

Full work available at URL: https://eudml.org/doc/37927

zbMATH Keywords

anti-de Sitter space\(k\)th mean curvatureGauss equation

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Unnamed Item
• Rigidity theorem for hypersurfaces in a unit sphere
• A new characterization of hyperbolic cylinder in anti-de Sitter space \(H_{1}^{n+1} (-1)\)
• Global rigidity theorems of hypersurfaces
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Rigidity of Clifford minimal hypersurfaces
• Maximal spacelike submanifolds of a pseudo-Riemannian space of constant curvature
• Rigidity of minimal hypersurfaces of spheres with two principal curvatures
• On spacelike hypersurfaces with constant scalar curvature in the de Sitter space
• Isometric immersions of Riemannian manifolds
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
• Hypersurfaces with constant scalar curvature in space forms

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