Foliations of doubly warped products by \(k\)-umbilical hypersurfaces
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Publication:2082721
DOI10.1007/s10231-022-01199-6OpenAlexW4214919898MaRDI QIDQ2082721
Oscar Palmas, Antonio Gervásio Colares
Publication date: 4 October 2022
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-022-01199-6
Schwarzschild black holedoubly warped products\(k\)-umbilical hypersurfacesclosed \(k\)-conformal vector fields
Foliations (differential geometric aspects) (53C12) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Cites Work
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- Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime
- Foliation of the Kottler-Schwarzschild-de Sitter spacetime by flat spacelike hypersurfaces
- On spacelike hypersurfaces with constant mean curvature in the de Sitter space
- Energy conditions in standard static spacetimes
- Geodesic completeness in static space-times
- On space-like hypersurfaces with constant mean curvature of a Lorentz space form
- 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
- Multiply warped products
- Doubly warped products.
- Geodesic structure of standard static space--times.
- A characterization of hyperbolic cylinders in the de Sitter space
- Isometric immersions of warped products
- Partially conformal transformations with respect to \((m-1)\)-dimensional distributions of \(m\)-dimensional Riemannian manifolds
- On Riemannian manifolds foliated by \((n-1)\)-umbilical hypersurfaces
- Spacelike foliations by \((n-1)\)-umbilical hypersurfaces in spacetimes
- Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. I.
- Partially conformal transformations with respect to (m-1)-dimensional distributions of m-dimensional Riemannian manifolds. II
- Curvature of multiply warped products
- Multiply warped products with nonsmooth metrics
- Scalar Curvature and Warped Products of Riemann Manifolds
- FOLIATION OF THE SCHWARZSCHILD AND REISSNER–NORDSTRÖM SPACE–TIMES BY FLAT SPACE-LIKE HYPERSURFACES
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
- Spacelike hypersurfaces of constant mean curvature in certain spacetimes
- Warped product approach to universe with nonsmooth scale factor
- Spacelike hypersurfaces with constant mean curvature in the steady state space