Helicoid-like minimal disks and uniqueness
Name
Bernstein-2011-Helicoid-like minima.pdf
Size
204.33 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Bernstein, Jacob
Breiner, Christine Elaine
Date Issued
March 2011
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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.
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DOI of Published Version
https://doi.org/10.1515/crelle.2011.037
