On spacelike hypersurfaces of constant sectional curvature Lorentz manifolds
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Publication:2496672
DOI10.1016/j.geomphys.2005.06.007zbMath1102.53044OpenAlexW2048054987MaRDI QIDQ2496672
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.2005.06.007
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry (53C99)
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Cites Work
- Hypersurfaces with constant scalar curvature
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
- Stable hypersurfaces with constant scalar curvature
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- Stability of hypersurfaces with constant \(r\)-mean curvature
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem
- Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
- The maximum principle for hypersurfaces with vanishing curvature functions
- Minimal varieties in Riemannian manifolds
- Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
- INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
- Two-ended hypersurfaces with zero scalar curvature
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