Generic uniqueness of least area planes in hyperbolic space
arXiv:math/0408066 · doi:10.2140/gt.2006.10.401
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.
This is the version published by Geometry & Topology on 27 April 2006 (V3: typesetting corrections)