Some estimates for the curvatures of complete space-like hypersurfaces in generalized Robertson-Walker space-times

DOI10.1016/j.geomphys.2004.04.007zbMath1088.53037OpenAlexW2086263243MaRDI QIDQ556177

Alfonso Romero, Juan A. Aledo, José A. Gálvez

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.04.007

zbMATH Keywords

Ricci curvatureGeneralized maximum principleGeneralized Robertson-Walker spacetimesjth mean curvaturesScalar curvatureSpacelike hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (2)

Uniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvatures ⋮ On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds

Cites Work

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• Inhomogeneous cosmological models with homogeneous inner hypersurface geometry
• On the Ricci curvature of a hypersurface in a space form
• Isometric immersions of Riemannian manifolds
• Harmonic functions on complete riemannian manifolds
• General Relativity for Mathematicians
• Complete hypersurface of non-positive Ricci curvature

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