Generic uniqueness of least area planes in hyperbolic space
Geometric Topology
2009-03-15 v3 Differential Geometry
Abstract
We study the number of solutions of the asymptotic Plateau problem in H^3. By using the analytical results in our previous paper, and some topological arguments, we show that there exists an open dense subset of C^3 Jordan curves in S^2_{infty}(H^3) such that any curve in this set bounds a unique least area plane in H^3.
Cite
@article{arxiv.math/0408066,
title = {Generic uniqueness of least area planes in hyperbolic space},
author = {Baris Coskunuzer},
journal= {arXiv preprint arXiv:math/0408066},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 27 April 2006 (V3: typesetting corrections)