New characterizations for hyperbolic cylinders in anti-de Sitter spaces

DOI10.1016/j.jmaa.2012.03.043zbMath1243.53016OpenAlexW2020713130MaRDI QIDQ432356

Bárbara Corominas Valério, Luiz A. M. jun. Sousa, Rosa Maria Barreiro Chaves

Publication date: 4 July 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.043

zbMATH Keywords

scalar curvatureanti-de Sitter spaceGauss-Kronecker curvaturecomplete space-like hypersurfaces

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Complete spacelike hypersurfaces in the anti-de Sitter space: rigidity, nonexistence and curvature estimates ⋮ On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form ⋮ On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space ⋮ On the principal curvatures of complete minimal hypersurfaces in space forms ⋮ Ricci curvature of spacelike hypersurfaces in de Sitter space ⋮ New characterizations of hyperbolic cylinders in semi-Riemannian space forms ⋮ Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space ⋮ On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms

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• Harmonic functions on complete riemannian manifolds
• Some remarks on the existence of spacelike hypersurfaces of constant mean curvature

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