Bernstein type results for complete spacelike hypersurfaces immersed in a weighted conformally stationary spacetime
DOI10.1142/S0129167X17500719zbMath1384.53019OpenAlexW2740579716MaRDI QIDQ5367340
Marco Antonio L. Velásquez, Márcio S. Santos, Henrique Fernandes de Lima, Arlandson Matheus Silva Oliveira
Publication date: 13 October 2017
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x17500719
Bakry-Émery-Ricci tensordrifting Laplacianweighted mean curvaturecomplete space-like hypersurfacesconformal time-like vector fieldsweighted conformally stationary spacetimes
Estimates of eigenvalues in context of PDEs (35P15) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Cites Work
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- The geometry of closed conformal vector fields on Riemannian spaces
- On the totally geodesic spacelike hypersurfaces in conformally stationary spacetimes
- Comparison geometry for the Bakry-Emery Ricci tensor
- Complete vertical graphs with constant mean curvature in semi-Riemannian warped products
- Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds
- 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
- 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
- Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor
- Isometric immersions of Riemannian manifolds
- Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative. (Kählerian manifolds of non-negative first Chern class and Riemannian manifolds with non-negative generalized Ricci curvature)
- Uniqueness of complete spacelike hypersurfaces via their higher order mean curvatures in a conformally stationary spacetime
- Structure of Lorentzian tori with a killing vector field
- 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
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