Helicoid-like minimal disks and uniqueness

Author(s)
Bernstein, Jacob; Breiner, Christine Elaine
Thumbnail
DownloadBernstein-2011-Helicoid-like minima.pdf (204.3Kb)
PUBLISHER_POLICY
Terms of use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Metadata
Show full item record
Abstract
We show that for an embedded minimal disk in R[superscript 3], near points of large curvature the surface is bi-Lipschitz with a piece of a helicoid. Additionally, a simplified proof of the uniqueness of the helicoid is provided.
Date issued
2011-03
URI
http://hdl.handle.net/1721.1/103320
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Publisher
Walter de Gruyter
Citation
Bernstein, Jacob, and Christine Breiner. "Helicoid-like minimal disks and uniqueness." Journal für die reine und angewandte Mathematik (Crelles Journal) 2011:655 (2011), pp.129-146.
Version: Final published version
ISSN
0075-4102
1435-5345
Collections