4 papers
On complete trapped submanifolds in globally hyperbolic spacetimes
Alma L. Albujer, Jónatan Herrera, Rafael M. Rubio
The aim of this manuscript is to obtain rigidity and non-existence results for parabolic spacelike submanifolds with causal mean curvature vector field in orthogonally splitted spa…
A Moser-Bernstein problem for Riemannian warped products
Alma L. Albujer, Jónatan Herrera, Rafael M. Rubio
In this work we deal with an elliptic non-linear problem, which arises naturally from Riemannian geometry. This problem has clasically been studied in the the Euclidean -dimensi…
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…
Compact spacelike surfaces whose mean curvature function satisfies a nonlinear inequality in a 3-dimensional Generalized Robertson-Walker spacetime
Alfonso Romero, Rafael M. Rubio
Spacelike surfaces in Generalized Robertson-Walker spacetimes whose mean curvature function satisfies a natural nonlinear inequality are analyzed. Several uniqueness and nonexisten…