Minimal Surfaces in H^2xR
Differential Geometry
2020-08-19 v3 Geometric Topology
Abstract
We give a fairly complete solution to the asymptotic Plateau Problem for minimal surfaces in H^2xR. In particular, we identify the collection of finite Jordan curves in the asymptotic cylinder which bounds a minimal surface in H^2xR.
Keywords
Cite
@article{arxiv.1908.01451,
title = {Minimal Surfaces in H^2xR},
author = {Baris Coskunuzer},
journal= {arXiv preprint arXiv:1908.01451},
year = {2020}
}
Comments
The statement of the paper is corrected, and counterexamples are studied in arXiv:2008.06583