Helicoid-like minimal disks and uniqueness

Helicoid-like minimal disks and uniqueness

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.

Bibliographic Details
Main Authors:	Bernstein, Jacob (Author), Breiner, Christine Elaine (Contributor)
Other Authors:	Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format:	Article
Language:	English
Published:	Walter de Gruyter, 2016-06-24T15:15:50Z.
Subjects:	Article
Online Access:	Get fulltext


LEADER	00864 am a22001813u 4500
001	103320
042			\|a dc
100	1	0	\|a Bernstein, Jacob \|e author
100	1	0	\|a Massachusetts Institute of Technology. Department of Mathematics \|e contributor
100	1	0	\|a Breiner, Christine Elaine \|e contributor
700	1	0	\|a Breiner, Christine Elaine \|e author
245	0	0	\|a Helicoid-like minimal disks and uniqueness
260			\|b Walter de Gruyter, \|c 2016-06-24T15:15:50Z.
856			\|z Get fulltext \|u http://hdl.handle.net/1721.1/103320
520			\|a 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.
546			\|a en_US
655	7		\|a Article
773			\|t Journal für die reine und angewandte Mathematik (Crelles Journal)