Uniqueness of complete spacelike hypersurfaces via their higher order mean curvatures in a conformally stationary spacetime
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Publication:2922198
DOI10.1002/mana.201200341zbMath1316.53065OpenAlexW1484219359MaRDI QIDQ2922198
Marco Antonio L. Velásquez, Henrique Fernandes de Lima
Publication date: 9 October 2014
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201200341
higher-order mean curvaturegeneralized Robertson-Walker spacetimecomplete space-like hypersurfacetime-like convergenceEinstein spacetimeconformally stationary spacetimetime-like conformal vector field
Differential geometry of homogeneous manifolds (53C30) Applications of global differential geometry to the sciences (53C80) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
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Cites Work
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- On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space
- The geometry of closed conformal vector fields on Riemannian spaces
- \(r\)-stable spacelike hypersurfaces in conformally stationary spacetimes
- A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds
- Stability of spacelike hypersurfaces in foliated spacetimes
- On the \(r\)-stability of space-like hypersurfaces
- Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space
- An extension of Jellett's theorem
- Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds
- Hypersurfaces of constant mean extrinsic curvature
- Hypersurfaces with constant scalar curvature
- Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
- Gradient conformal Killing vectors and exact solutions
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- On the geometry of generalized Robertson-Walker spacetimes: geodesics.
- On the geometry of conformally stationary Lorentz spaces
- Isometric immersions of Riemannian manifolds
- On the mean curvature of spacelike surfaces in certain three-dimensional Robertson-Walker spacetimes and Calabi-Bernstein's type problems
- Bernstein-type theorems in semi-Riemannian warped products
- COMPLETE CMC SPACELIKE SURFACES WITH BOUNDED HYPERBOLIC ANGLE IN GENERALIZED ROBERTSON–WALKER SPACETIMES
- Complete spacelike hypersurfaces in a Robertson–Walker spacetime
- Constant mean curvature spacelike hypersurfaces in Lorentzian manifolds with a timelike gradient conformal vector field
- Structure of Lorentzian tori with a killing vector field
- Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson–Walker spacetimes
- Harmonic functions on complete riemannian manifolds
- Spacelike hypersurfaces of constant mean curvature in certain spacetimes
- INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
- Generalized maximum principles and the rigidity of complete spacelike hypersurfaces
- Cosmological models expressible as gradient vector fields
- Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
- Spacelike hypersurfaces with constant mean curvature in the steady state space
- Constant mean curvature spacelike surfaces in three-dimensional generalized Robertson-Walker spacetimes
