Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes
DOI10.1007/s13163-020-00375-7OpenAlexW3096676689MaRDI QIDQ2231582
Henrique Fernandes de Lima, Jogli G. Araújo, Wallace F. Gomes
Publication date: 30 September 2021
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13163-020-00375-7
steady state-type spacetimesEinstein-de Sitter spacetimecomplete spacelike hypersurfacesCalabi-Bernstein type resultsentire spacelike graphsfuture mean curvatureGRW spacetimes
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime
- Complete constant mean curvature spacelike hypersurfaces in the Einstein-de Sitter spacetime
- New examples of entire maximal graphs in \(\mathbb H^2 \times \mathbb R_1\)
- Complete vertical graphs with constant mean curvature in semi-Riemannian warped products
- 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
- Complete non-compact spacelike hypersurfaces of constant mean curvature in de Sitter spaces
- On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime
- Uniqueness of maximal surfaces in generalized Robertson-Walker spacetimes and Calabi-Bernstein type problems
- Uniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvatures
- Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space
- 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
- COMPLETE CMC SPACELIKE SURFACES WITH BOUNDED HYPERBOLIC ANGLE IN GENERALIZED ROBERTSON–WALKER SPACETIMES
- Complete spacelike hypersurfaces in a Robertson–Walker spacetime
- Singularity Theorems in General Relativity: Achievements and Open Questions
- Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson–Walker spacetimes
- Singularity theorems based on trapped submanifolds of arbitrary co-dimension
- Harmonic functions on complete riemannian manifolds
- INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
- Generalized maximum principles and the rigidity of complete spacelike hypersurfaces
- Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems
- Gravitational Collapse and Space-Time Singularities
- Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
- The Large Scale Structure of Space-Time
- The Steady-State Theory of the Expanding Universe
- A New Model for the Expanding Universe
- Spacelike hypersurfaces with constant mean curvature in the steady state space
- Constant mean curvature spacelike surfaces in three-dimensional generalized Robertson-Walker spacetimes
This page was built for publication: Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes