On the Calabi-Yau problem for maximal surfaces in L^3
Differential Geometry
2007-12-04 v2
Abstract
In this paper we construct an example of a weakly complete maximal surface in the Lorentz-Minkowski space L^3, which is bounded by a hyperboloid. Moreover, all the singularities of our example are of lightlike type.
Keywords
Cite
@article{arxiv.0707.1098,
title = {On the Calabi-Yau problem for maximal surfaces in L^3},
author = {Antonio Alarcon},
journal= {arXiv preprint arXiv:0707.1098},
year = {2007}
}
Comments
12 pages, 2 figures. Revised version. To appear in Differ. Geom. Appl