Generic Uniqueness of Area Minimizing Disks for Extreme Curves
Differential Geometry
2010-08-19 v2 Geometric Topology
Abstract
We show that for a generic nullhomotopic simple closed curve C in the boundary of a compact, orientable, mean convex 3-manifold M with trivial second homology, there is a unique area minimizing disk D embedded in M where the boundary of D is C. We also show that the same is true for absolutely area minimizing surfaces.
Cite
@article{arxiv.0810.4985,
title = {Generic Uniqueness of Area Minimizing Disks for Extreme Curves},
author = {Baris Coskunuzer},
journal= {arXiv preprint arXiv:0810.4985},
year = {2010}
}
Comments
15 pages