Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space
Differential Geometry
2007-10-09 v2
Abstract
We classify the entire minimal vertical graphs in the 3 dimensional Heisenberg group Nil endowed with a Riemannian left-invariant metric. This classification, which provides a solution to the Bernstein problem in Nil, is given in terms of the Abresch-Rosenberg holomorphic differential for minimal surfaces in Nil.
Keywords
Cite
@article{arxiv.0705.1436,
title = {Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space},
author = {Isabel Fernandez and Pablo Mira},
journal= {arXiv preprint arXiv:0705.1436},
year = {2007}
}