16 citations · 16 across the 2 of their papers we have counts for
4 papers
On the hypersufaces of the Euclidean space which are simultaneously minimal and maximal
Magdalena Caballero
It is well known that the only surfaces that are simultaneously minimal in and maximal in are open pieces of helicoids (in the region in which they ar…
Geometric properties of surfaces with the same mean curvature in R^3 and L^3
Alma L. Albujer, Magdalena Caballero
Spacelike surfaces in the Lorentz-Minkowski space L^3 can be endowed with two different Riemannian metrics, the metric inherited from L^3 and the one induced by the Euclidean metri…
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…
Rotational Surfaces in and Solutions in the Nonlinear Sigma Model
Manuel Barros, Magdalena Caballero, Miguel Ortega
The Gauss map of non-degenerate surfaces in the three-dimensional Minkowski space are viewed as dynamical fields of the two-dimensional O(2,1) Nonlinear Sigma Model. In this settin…