On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds

DOI10.1016/J.GEOMPHYS.2005.10.008zbMath1097.53043OpenAlexW2084445308WikidataQ115353452 ScholiaQ115353452MaRDI QIDQ2496766

Bing Ye Wu

Publication date: 20 July 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2005.10.008

zbMATH Keywords

mean curvaturespace-timeLorentzian distancesemi-Riemannian space form

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 (3)

On pseudo-umbilical spacelike submanifolds in indefinite space form \(\mathcal{M}_p^{n+p}(c)\) ⋮ Geometric analysis of Lorentzian distance function on spacelike hypersurfaces ⋮ Spacelike submanifolds with parallel mean curvature vector in a de Sitter space \(S^{n+p}_q(c)\)

Cites Work

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• Some estimates for the curvatures of complete space-like hypersurfaces in generalized Robertson-Walker space-times
• On level sets of Lorentzian distance function
• On the curvatures of complete spacelike hypersurfaces in de Sitter space
• On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space
• Isometric immersions of Riemannian manifolds

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