Curvature properties of compact spacelike hypersurfaces in de Sitter space

DOI10.1016/S0926-2245(01)00035-3zbMath0991.53043OpenAlexW2006026215WikidataQ115338318 ScholiaQ115338318MaRDI QIDQ5936470

Juan A. Aledo, Luis J. Alías

Publication date: 29 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(01)00035-3

zbMATH Keywords

mean curvaturede Sitter spacecompact spacelike hypersurfaceLaplacian operator

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Scalar curvature of spacelike hypersurfaces and certain class of cosmological models for accelerated expanding universes ⋮ Spacelike hypersurfaces in twisted product spacetimes with complete fiber and Calabi-Bernstein-type problems ⋮ Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form. ⋮ Complete spacelike hypersurfaces in generalized Robertson-Walker and the null convergence condition: Calabi-Bernstein problems

Cites Work

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• On space-like hypersurfaces in the de Sitter space
• Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces
• Elementary geometric applications of a maximum principle for nonlinear elliptic operators
• A Priori Estimates of the Principal Curvatures of Spacelike Hypersurfaces in de Sitter Space with Applications to Hypersurfaces in Hyperbolic Space
• Some remarks on the existence of spacelike hypersurfaces of constant mean curvature

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