Curvature properties of spacelike hypersurfaces in a RW spacetime
DOI10.1016/j.geomphys.2023.105015MaRDI QIDQ6141332
Bang-Yen Chen, Alina Daniela Vîlcu, Gabriel Eduard Vîlcu, Mehraj Ahmad Lone
Publication date: 4 January 2024
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
spacelike hypersurface\(\delta\)-Casorati curvaturegeneralized Robertson-Walker spacetimenormal hyperbolic anglespacelike slicequasi-umbilical hypersurface.
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Null hypersurfaces in generalized Robertson-Walker spacetimes
- Complete spacelike hypersurfaces in the de Sitter space
- Complete constant mean curvature spacelike hypersurfaces in the Einstein-de Sitter spacetime
- On uniqueness of the foliation by comoving observers restspaces of a generalized Robertson-Walker spacetime
- Marginally trapped submanifolds in generalized Robertson-Walker spacetimes
- On complete spacelike hypersurfaces with two distinct principal curvatures in a de Sitter space
- Hypersurfaces in the Lorentz-Minkowski space satisfying \(L_{k} \psi = A\psi + b\)
- On spacelike hypersurfaces with constant scalar curvature in the anti-de Sitter space
- Some pinching and classification theorems for minimal submanifolds
- \(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime
- On the scalar curvature of spacelike hypersurfaces in generalized Robertson Walker spacetimes
- Characterizations of spacelike hyperplanes in the steady state space via generalized maximum principles
- Spacelike hypersurfaces in the Lorentz-Minkowski space satisfying \(L_rx=Rx+b\)
- New characterizations of totally geodesic hypersurfaces in anti-de Sitter space \(\mathbb H^{n+1}_1\)
- Differential geometry of submanifolds of warped product manifolds \(I \times _f S^{m-1} (k)\)
- On complete spacelike hypersurfaces with two distinct principal curvatures in Lorentz-Minkowski space
- Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- On curvature properties of certain generalized Robertson-Walker 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
- Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem
- Spacelike hypersurfaces in the Lorentz-Minkowski space with the same Riemannian and Lorentzian mean curvature
- Spacelike hypersurfaces in weighted generalized Robertson-Walker space-times
- An optimal inequality for Lagrangian submanifolds in complex space forms involving Casorati curvature
- Inequalities for Casorati curvatures of submanifolds in real space forms
- On Casorati curvatures of submanifolds in pointwise Kenmotsu space forms
- Generalized Robertson-Walker space-time admitting evolving null horizons related to a black hole event horizon
- On the geometry of generalized Robertson-Walker spacetimes: geodesics.
- Geodesic connectedness and conjugate points in GRW space-times
- Inhomogeneous cosmological models with homogeneous inner hypersurface geometry
- Certain types of GRW-spacetimes
- Rigidity and nonexistence results for \(r\)-trapped submanifold in GRW spacetimes
- Inequalities for generalized normalized \(\delta \)-Casorati curvatures of slant submanifolds in metallic Riemannian space forms
- Basic inequalities for submanifolds of quaternionic space forms with a quarter-symmetric connection
- Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes
- Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes
- Generalized linear Weingarten spacelike hypersurfaces in GRW spacetimes: height estimates and half-space theorems
- A new approach for uniqueness of complete maximal hypersurfaces in spatially parabolic GRW spacetimes
- Spacelike hypersurfaces in anti-de Sitter space
- Weakly trapped submanifolds immersed in generalized Robertson-Walker spacetimes
- Constant mean curvature spacelike hypersurfaces in spatially Open GRW spacetimes
- Uniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvatures
- Classification of Casorati ideal Lagrangian submanifolds in complex space forms
- Spacelike hypersurfaces with nonzero constant \(k\)-th mean curvature and two distinct principal curvatures in anti-de Sitter spaces
- A simple characterization of generalized Robertson-Walker spacetimes
- Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms II
- Chen inequalities on spacelike hypersurfaces of a GRW spacetime
- On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times
- ON LIGHTLIKE HYPERSURFACES OF A GRW SPACE-TIME
- On the rigidity of spacelike hypersurfaces immersed in the steady state space \mathcal H^{n+1}
- Conformal Methods in General Relativity
- Generalized Robertson–Walker spacetimes — A survey
- Complete spacelike hypersurfaces in a Robertson–Walker spacetime
- A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems
- On maximal spacelike hypersurfaces in a Lorentzian manifold
- Realization of Robertson–Walker spacetimes as affine hypersurfaces
- Complete spacelike hypersurfaces in the anti-de Sitter space: rigidity, nonexistence and curvature estimates
- Recent developments in δ-Casorati curvature invariants
- New characterizations of spacelike hyperplanes in the steady state space
- Generalized quasi-Einstein GRW space-times
- Differential Geometry of Warped Product Manifolds and Submanifolds
- Perfect-fluid, generalized Robertson-Walker space-times, and Gray’s decomposition
- On generalized Robertson--Walker spacetimes satisfying some curvaturecondition
- Complete spacelike hypersurfaces in a de Sitter space
- A note on generalized Robertson–Walker space-times
- A New Model for the Expanding Universe
- On the Generation of Magnetism by Fluid Motion
- Spacelike hypersurfaces with constant mean curvature in the steady state space
- Spacelike hypersurfaces with constant mean curvature in the steady state space
- Constant mean curvature spacelike surfaces in three-dimensional generalized Robertson-Walker spacetimes
- Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space
This page was built for publication: Curvature properties of spacelike hypersurfaces in a RW spacetime