16 citations · 41 across the 14 of their papers we have counts for
4 papers · 1 filter
Compact maximal hypersurfaces in stably causal spacetimes
Rafael M. Rubio, Juan J. Salamanca
Several uniqueness results on compact maximal hypersurfaces in a wide class of sta- bly causal spacetimes are given. They are obtained from the study of a distinguished function on…
Uniqueness and non-existence of minimal submanifolds
R. M. Rubio, J. J. Salamanca
We provide uniqueness results for compact minimal submanifolds in a large class of Riemannian manifolds of arbitrary dimension. In the case compact and Cartan-Hadamard manifolds we…
Uniqueness of complete maximal hypersurfaces in spatially open -dimensional Robertson-Walker spacetimes with flat fiber
José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio
In this paper, under natural geometric and physical assumptions we provide new uniqueness and non-existence results for complete maximal hypersurfaces in spatially open Robertson-W…
On maximal hypersurfaces in Lorentz manifolds admitting a parallel lightlike vector field
José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio
We study constant mean curvature spacelike hypersurfaces and in particular maximal hypersurfaces immersed in pp-wave spacetimes satisfying the timelike convergence condition. We pr…