The number of conformally equivalent maximal graphs
Differential Geometry
2009-03-18 v1
Abstract
We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a universal constant that depends only on the number of singularities, namely 2^$ for graphs with n+1 singularities. We also give an explicit description of the family of entire maximal graphs with a finite number of singularities all of them lying on a plane orthogonal to the limit normal vector at infinity.
Cite
@article{arxiv.0903.2950,
title = {The number of conformally equivalent maximal graphs},
author = {Isabel Fernandez},
journal= {arXiv preprint arXiv:0903.2950},
year = {2009}
}