Minimal Surfaces in $\mathbb{H}_2\times \mathbb{R}$: Nonfillable Curves
Differential Geometry
2023-02-20 v1
Abstract
We study the asymptotic Plateau problem in . We give the first examples of non-fillable finite curves with no thin tail in the asymptotic cylinder. Furthermore, we study the fillability question for infinite curves in the asymptotic boundary.
Cite
@article{arxiv.2008.06583,
title = {Minimal Surfaces in $\mathbb{H}_2\times \mathbb{R}$: Nonfillable Curves},
author = {Baris Coskunuzer},
journal= {arXiv preprint arXiv:2008.06583},
year = {2023}
}
Comments
14 pages, and 5 figures. arXiv admin note: substantial text overlap with arXiv:1908.01451