6 citations · 15 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
A note on the Gauss map of complete nonorientable minimal surfaces
Francisco J. Lopez, Francisco Martin
We construct complete nonorientable minimal surfaces whose Gauss map omits two points of the projective plane. This result proves that Fujimoto's theorem is sharp in nonorientable…