103 citations · 175 across the 18 of their papers we have counts for
19 papers
Rigidity results for complete spacelike submanifolds in plane fronted waves
Francisco J. Palomo, José A. S. Pelegrín, Alfonso Romero
New rigidity results for complete non-compact spacelike submanifolds of arbitrary codimension in plane fronted waves are obtained. Under appropriate assumptions, we prove that a co…
Complete stationary spacelike surfaces in an -dimensional Generalized Robertson-Walker spacetime
Danilo Ferreira, Eraldo A. Lima, Alfonso Romero
Several uniqueness results for non-compact complete stationary spacelike surfaces in an -dimensional Generalized Robertson Walker spacetime are obtained. In order to do…
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…
A new proof of a classical result on the topology of orientable connected and compact surfaces by means of the Bochner technique
J. M. Almira, A. Romero
As an application of the Bochner formula, we prove that if a -dimensional Riemannian manifold admits a non-trivial smooth tangent vector field then its Gauss curvature is th…
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…
On the First eigenvalue of the Laplace operator for Compact Spacelike submanifolds in Lorentz-Minkowski Spacetime
Francisco J. Palomo, Alfonso Romero
By means of a family of counter-examples, it is shown that the Reilly upper bound for the first eigenvalue of the Laplace operator for a compact submanifold in Euclidean space does…