Spacelike hypersurfaces with constant higher order mean curvature in de Sitter space

DOI10.1016/j.geomphys.2006.07.005zbMath1111.53049OpenAlexW2036770124MaRDI QIDQ864852

Henrique Fernandes de Lima

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.07.005

zbMATH Keywords

de Sitter spacesteady state spacespace-like hypersurfaceshigher order mean curvatureMinkowski-type formulae

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

A characterization of hyperbolic caps in the steady state space, On the totally geodesic spacelike hypersurfaces in conformally stationary spacetimes, STABILITY OF SPACELIKE HYPERSURFACES WITH HIGHER-ORDER MEAN CURVATURES LINEARLY RELATED IN CONFORMALLY STATIONARY SPACETIMES, Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds, Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space, The ADM mass of asymptotically flat hypersurfaces, Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces

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