Non-simply connected minimal planar domains in H^2 x R
Differential Geometry
2011-06-24 v1
Abstract
We prove that any non-simply connected planar domain can be properly and minimally embedded in H^2 x R. The examples that we produce are vertical bi-graphs, and they are obtained from the conjugate surface of a Jenkins-Serrin graph.
Keywords
Cite
@article{arxiv.1106.4596,
title = {Non-simply connected minimal planar domains in H^2 x R},
author = {Francisco Martín and M. Magdalena Rodríguez},
journal= {arXiv preprint arXiv:1106.4596},
year = {2011}
}
Comments
18 pages, 9 figures