On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space

DOI10.1007/s10711-014-0002-3zbMath1308.53090OpenAlexW2027768937MaRDI QIDQ2256248

Henrique Fernandes de Lima, Marco Antonio L. Velásquez, Cicero Pedro Aquino

Publication date: 19 February 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-014-0002-3

zbMATH Keywords

scalar curvaturemean curvatureanti-de Sitter spacetotally umbilical hypersurfacesGauss mappingtotally geodesic 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 (max. 100)

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 ⋮ Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space ⋮ Complete linear Weingarten spacelike submanifolds immersed in the anti-de Sitter space

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