16 citations · 41 across the 14 of their papers we have counts for
18 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…
New examples of Moser-Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry
Alfonso Romero, Rafael M. Rubio, Juan J. Salamanca
A family of nonlinear partial differential equations of divergence form is considered. Each one is the Euler-Lagrange equation of a natural Riemaniann variational problem of geomet…
Rigidity and non-existence of spacelike submanifolds with causal mean curvature vector field in spacetimes and the Cauchy problem in General Relativity
uan A. Aledo, Rafael M. Rubio, Juan J. Salamanca
New general results of non-existence and rigidity of spacelike submanifolds immersed in a spacetime, whose mean curvature is a time-oriented causal vector field, are given. These r…
On uniqueness of the foliation by comoving observers restspaces of a Generalized Robertson Walker spacetime
José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio
A characterization of the foliation by spacelike slices of an -dimensional spatially closed Generalized Robertson-Walker spacetime is given by means of studying a natural me…
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…