9 citations · 9 across the 4 of their papers we have counts for
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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…
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…