6 citations · 15 across the 13 of their papers we have counts for
14 papers
Exploring new extrinsic upper bounds on the first eigenvalue of the Laplace operator for compact submanifolds in Euclidean spaces
Francisco J. Palomo, Alfonso Romero
Upper bounds of the first non-trivial eigenvalue of the Laplace operator of a compact submanifold of Euclidean space , by means of a new technique, are obtain…
Reductive homogeneous spaces of the compact Lie group
Cristina Draper, Francisco J. Palomo
The first author defended her doctoral thesis Espacios homogéneos reductivos y álgebras no asociativas in 2001, supervised by P. Benito and A. Elduque. This thesis contained the cl…
A new approach to the study of spacelike submanifolds in a spherical Robertson-Walker spacetime: characterization of the stationary spacelike submanifolds as an application
D. Ferreira, E. A. Lima, F. J. Palomo +1
A natural one codimension isometric embedding of each -dimensional spherical Robertson-Walker (RW) spacetime in -dimensional Lorentz-Minkowsk…
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds
Rodrigo Morón, Francisco J. Palomo
For every codimension two spacelike submanifold of a Lorentz manifold and each choice of a normal lightlike vector field, we introduce a canonical way to construct a tractor confor…
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…
Codimension two spacelike submanifolds in Lorentzian manifolds and conformal structures
Rodrigo Morón, Francisco J. Palomo
Starting from a Riemannian conformal structure on a manifold M, we provide a method to construct a family of Lorentzian manifolds. The construction relies on the choice of a metric…