On the curvatures of complete spacelike hypersurfaces in de Sitter space

DOI10.1023/A:1005204512349zbMath0969.53034OpenAlexW121432537MaRDI QIDQ1573681

Luis J. Alías, Juan A. Aledo

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1023/a:1005204512349

zbMATH Keywords

Ricci curvaturespacelike hypersurfacede Sitter spacegeneralized maximum principlehigher-order mean curvature

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)

Related Items (5)

Complete spacelike hypersurfaces in the anti-de Sitter space: rigidity, nonexistence and curvature estimates ⋮ Comparison theorems in Lorentzian geometry and applications to spacelike hypersurfaces ⋮ Some estimates for the curvatures of complete space-like hypersurfaces in generalized Robertson-Walker space-times ⋮ On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds ⋮ Geometric analysis of Lorentzian distance function on spacelike hypersurfaces

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