Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space

DOI10.1007/S11464-009-0023-7zbMath1177.53060OpenAlexW1998288942MaRDI QIDQ1034905

Biao-Gui Yang, Xi-Min Liu

Publication date: 9 November 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0023-7

zbMATH Keywords

hyperbolic cylinderanti-de Sitter spacecomplete spacelike hypersurfaceconstant mean curvature (CMC)generalized maximal principle

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 (1)

On spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms

Cites Work

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• Space-like isoparametric hypersurfaces in Lorentzian space forms
• A new characterization of hyperbolic cylinder in anti-de Sitter space \(H_{1}^{n+1} (-1)\)
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• A characterization of hyperbolic cylinders in the de Sitter space
• Isometric immersions of Riemannian manifolds
• Hypersurfaces with constant mean curvature and two principal curvatures in <img id="_x0000_i1025" src="../../../../img/revistas/aabc/v76n3/a03img01.gif" align=absbottom>n+1
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature

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