ON COMPLETE SPACELIKE HYPERSURFACES WITH CONSTANT m-TH MEAN CURVATURE IN AN ANTI-DE SITTER SPACE

DOI10.1142/S0129167X10006239zbMath1190.53061MaRDI QIDQ3566775

No author found.

Publication date: 10 June 2010

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

zbMATH Keywords

mean curvaturespacelike hypersurfaceprincipal curvatureAnti-de Sitter space

Mathematics Subject Classification ID

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

Related Items (7)

On spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms ⋮ Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space ⋮ New characterizations for hyperbolic cylinders in anti-de Sitter spaces ⋮ CMC hypersurfaces on Riemannian and semi-Riemannian manifolds ⋮ An application of maximum principle to space-like hypersurfaces with constant mean curvature in anti-de Sitter space ⋮ On complete spacelike hypersurfaces with two distinct principal curvatures in a de Sitter space ⋮ On complete spacelike hypersurfaces with two distinct principal curvatures in Lorentz-Minkowski space

Cites Work

• Complete hypersurfaces with constant mean curvature in a unit sphere
• A new characterization of hyperbolic cylinder in anti-de Sitter space \(H_{1}^{n+1} (-1)\)
• Complete hypersurfaces with \(H_k=0\) in a unit sphere
• Isometric immersions of Riemannian manifolds
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature

This page was built for publication: ON COMPLETE SPACELIKE HYPERSURFACES WITH CONSTANT m-TH MEAN CURVATURE IN AN ANTI-DE SITTER SPACE