16 citations · 16 across the 6 of their papers we have counts for
8 papers
A mathematical model for fibrous dysplasia: The role of the flow of mutant cells
Mariia Soloviova, Juan Carlos Beltran Vargas, Luis Fernandez de Castro +3
Fibrous dysplasia (FD) is a mosaic non-inheritable genetic disorder of the skeleton in which normal bone is replaced by structurally unsound fibro-osseous tissue. There is no curat…
Critical points of the solution to the surface equation
Alma L. Albujer, Magdalena Caballero
Spacelike surfaces with the same mean curvature in and are locally described as the graph of the solutions to the surface equation, which is…
On the symmetries of a Kaehler manifold
Alma L. Albujer, Jorge Alcázar, Magdalena Caballero
In this manuscript we study natural symmetries of Kaehler manifolds: constant holomorphic sectional curvature Kaheler manifolds, semisymmetric Kaehler manifolds and holomorphically…
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…
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…
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…