Spacelike hypersurfaces immersed in weighted standard static spacetimes: uniqueness, nonexistence and stability
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Publication:2179125
DOI10.1007/s00025-020-01200-9zbMath1439.53055OpenAlexW3021512945MaRDI QIDQ2179125
Henrique Fernandes de Lima, André F. A. Ramalho, Eudes Leite de Lima, Marco Antonio L. Velásquez
Publication date: 12 May 2020
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-020-01200-9
Bakry-Émery-Ricci tensor\(f\)-mean curvaturespace-like hypersurfacesdrift Laplacian\(f\)-stability\(f\)-parabolicityweighted standard static spacetimes
Estimates of eigenvalues in context of PDEs (35P15) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Cites Work
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- Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities
- Entire bounded constant mean curvature Killing graphs
- New Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimes
- \(f\)-stability of spacelike hypersurfaces in weighted spacetimes
- Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes
- Stability properties and topology at infinity of \(f\)-minimal hypersurfaces
- The hyperplane is the only stable, smooth solution to the isoperimetric problem in Gaussian space
- On the geometry of static spacetimes
- Stability of hypersurfaces with constant mean curvature
- Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
- Hypersurfaces of constant mean extrinsic 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
- Isoperimetry of waists and concentration of maps
- Some isoperimetric inequalities and eigenvalue estimates in weighted manifolds
- Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor
- On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products
- Free boundary stable hypersurfaces in manifolds with density and rigidity results
- Bernstein type theorem for entire weighted minimal graphs in \(\mathbb G^n{\times}\mathbb R\)
- On the isoperimetric problem in Euclidean space with density
- On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes
- Harmonic functions on complete riemannian manifolds
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Geodesics in static spacetimes and t-periodic trajectories
- Lorentzian manifolds admitting a killing vector field
- Maximum principles on Riemannian manifolds and applications
- A remark on the maximum principle and stochastic completeness
- The existence and uniqueness of standard static splitting
- Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product
- The Large Scale Structure of Space-Time
