COMPLETE CMC SPACELIKE SURFACES WITH BOUNDED HYPERBOLIC ANGLE IN GENERALIZED ROBERTSON–WALKER SPACETIMES
From MaRDI portal
Publication:3057856
DOI10.1142/S0219887810004658zbMath1202.53058MaRDI QIDQ3057856
Rafael M. Rubio, Alfonso Romero, Magdalena Caballero
Publication date: 17 November 2010
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
constant mean curvaturespace-like surfaceCalabi-Bernstein problemgeneralized Robertson-Walker space-time
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (13)
Uniqueness of complete spacelike hypersurfaces via their higher order mean curvatures in a conformally stationary spacetime ⋮ On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime ⋮ On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime ⋮ Spacelike mean curvature flow solitons, polynomial volume growth and stochastic completeness of spacelike hypersurfaces immersed into pp-wave spacetimes ⋮ On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes ⋮ Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems ⋮ On the totally geodesic spacelike hypersurfaces in conformally stationary spacetimes ⋮ Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes ⋮ Generalized maximum principles and the rigidity of complete spacelike hypersurfaces ⋮ New Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimes ⋮ Complete spacelike hypersurfaces in a Robertson–Walker spacetime ⋮ Complete spacelike hypersurfaces immersed in pp-wave spacetimes ⋮ Unnamed Item
Cites Work
- On subharmonic functions and differential geometry in the large
- The Gauss map of a spacelike constant mean curvature hypersurface of Minkowski space
- On the Gauss image of a spacelike hypersurface with constant mean curvature in Minkowski space
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- Uniqueness of noncompact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski 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
- Harmonic functions on complete riemannian manifolds
- Zero mean curvature surfaces with non–negative curvature in flat Lorentzian 4–spaces
- Spacelike hypersurfaces of constant mean curvature in certain spacetimes
- Constant mean curvature spacelike surfaces in three-dimensional generalized Robertson-Walker spacetimes
This page was built for publication: COMPLETE CMC SPACELIKE SURFACES WITH BOUNDED HYPERBOLIC ANGLE IN GENERALIZED ROBERTSON–WALKER SPACETIMES
