6 citations · 15 across the 5 of their papers we have counts for
5 papers
Harmonic maps and constant mean curvature surfaces in $\H^2 \times \R$
Isabel Fernandez, Pablo Mira
We introduce a hyperbolic Gauss map into the Poincare disk for any surface in H^2xR with regular vertical projection, and prove that if the surface has constant mean curvature H=1/…
Periodic Maximal surfaces in the Lorentz-Minkowski space
Isabel Fernandez, Francisco J. Lopez
A maximal surface $\sb$ with isolated singularities in a complete flat Lorentzian 3-manifold is said to be entire if it lifts to a (periodic) entire multigraph $\tilde{\sb}$ i…
The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space
Isabel Fernandez, Francisco J. Lopez, Rabah Souam
We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space $ł^3=(\r^3,dx_1^2+dx_2^2-dx_3…
Relative parabolicity of zero mean curvature surfaces in and
Isabel Fernandez, Francisco J. Lopez
If the Lorentzian norm on a maximal surface in the 3-dimensional Lorentz-Minkowski space is positive and proper, then the surface is relative parabolic. As a consequence, e…
The space of complete embedded maximal surfaces with isolated singularities in the 3-dimensional Lorentz-Minkowski space
Isabel Fernandez, Francisco J. Lopez, Rabah Souam
We show that a complete embedded maximal surface in the 3-dimensional Lorentz-Minkowski space with a finite number of singularities is, up to a Lorentzian isometry, an entire…