Asymptotic Plateau Problem for Two Contours
Differential Geometry
2020-01-28 v1 Geometric Topology
Abstract
For two disjoint rectifiable star-shaped Jordan curves (including round circles) in the asymptotic boundary of hyperbolic 3-space, if the distance (see Definition 1.8) between these two Jordan curves are bounded from above by some constant, then there exists an annulus-type area minimizing (or equivalently least area) minimal surface asymptotic to these two Jordan curves. The main results of this paper are Theorem 1.7 and Theorem 1.11.
Cite
@article{arxiv.2001.09380,
title = {Asymptotic Plateau Problem for Two Contours},
author = {Biao Wang},
journal= {arXiv preprint arXiv:2001.09380},
year = {2020}
}
Comments
26 pages, 4 figures