$H$-Surfaces with Arbitrary Topology in Hyperbolic 3-Space
Differential Geometry
2017-05-30 v1 Geometric Topology
Abstract
In this paper, we show that any open orientable surface S can be properly embedded in H^3 as a minimizing H-surface for any 0<=H<1. We obtained this result by proving a version of the bridge principle at infinity for H-surfaces. We also show that any open orientable surface S can be nonproperly embedded in H^3 as a minimal surface, too.
Cite
@article{arxiv.1311.4629,
title = {$H$-Surfaces with Arbitrary Topology in Hyperbolic 3-Space},
author = {Baris Coskunuzer},
journal= {arXiv preprint arXiv:1311.4629},
year = {2017}
}
Comments
28 pages, 9 figures