Relative parabolicity of zero mean curvature surfaces in $R^3$ and $R_1^3$
Differential Geometry
2007-05-23 v1
Abstract
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, entire maximal graphs with a closed set of isolated singularities are relative parabolic. Furthermore, maximal and minimal graphs over closed starlike domains in and respectively, are relative parabolic.
Keywords
Cite
@article{arxiv.math/0410435,
title = {Relative parabolicity of zero mean curvature surfaces in $R^3$ and $R_1^3$},
author = {Isabel Fernandez and Francisco J. Lopez},
journal= {arXiv preprint arXiv:math/0410435},
year = {2007}
}