Helicoid-Like Minimal Disks and Uniqueness
Differential Geometry
2016-05-27 v3
Abstract
We show that an embedded minimal disk in R^3 with large curvature is bilipschitz with a piece of a helicoid. Additionally, a simplified proof of the uniqueness of the helicoid is provided.
Keywords
Cite
@article{arxiv.0802.1497,
title = {Helicoid-Like Minimal Disks and Uniqueness},
author = {Jacob Bernstein and Christine Breiner},
journal= {arXiv preprint arXiv:0802.1497},
year = {2016}
}
Comments
17 pages, LaTex; substantially expanded and revised per referee's suggestions; To appear J. Reine. Angew. Math