16 citations · 41 across the 14 of their papers we have counts for
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Characterizations of umbilic points of isometric immersions in Riemannian and Lorentzian manifolds
Magdalena Caballero, Rafael M. Rubio
Several characterizations of umbilic points of submanifolds in arbitrary Riemannian and Lorentzian manifolds are given. As a consequence, we obtain new characterizations of spheres…
Scalar curvature of spacelike hypersurfaces and certain class of cosmological models for accelerated expanding universes
Juan A. Aledo, Rafael M. Rubio
We study the scalar curvature of spacelike hypersurfaces in the family of cosmological models known as generalized Robertson-Walker spacetimes, and give several rigidity results un…
A dual rigidity of the sphere and the hyperbolic plane
Magdalena Caballero, Rafael M. Rubio
There are several well-known characterizations of the sphere as a regular surface in the Euclidean space. By means of a purely synthetic technique, we get a rigidity result for the…
Complete Spacelike Hypersurfaces in Generalized Robertson-Walker and the Null Convergence Condition. Calabi-Bernstein problems
Juan A. Aledo, Rafael M. Rubio, Juan J. Salamanca
We study constant mean curvature spacelike hypersurfaces in generalized Robertson-Walker spacetimes which are spatially parabolic covered (i.e. its fiber F is a (non- compact) comp…