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.
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Walter de Gruyter
2016
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| Online Access: | http://hdl.handle.net/1721.1/103320 |
| _version_ | 1826215041853030400 |
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| author | Bernstein, Jacob Breiner, Christine Elaine |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Bernstein, Jacob Breiner, Christine Elaine |
| author_sort | Bernstein, Jacob |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T16:15:36Z |
| format | Article |
| id | mit-1721.1/103320 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:15:36Z |
| publishDate | 2016 |
| publisher | Walter de Gruyter |
| record_format | dspace |
| spelling | mit-1721.1/1033202022-10-02T07:22:44Z Helicoid-like minimal disks and uniqueness Bernstein, Jacob Breiner, Christine Elaine Massachusetts Institute of Technology. Department of Mathematics Breiner, Christine Elaine 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. 2016-06-24T15:15:50Z 2016-06-24T15:15:50Z 2011-03 2010-01 Article http://purl.org/eprint/type/JournalArticle 0075-4102 1435-5345 http://hdl.handle.net/1721.1/103320 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. en_US http://dx.doi.org/10.1515/crelle.2011.037 Journal für die reine und angewandte Mathematik (Crelles Journal) 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. application/pdf Walter de Gruyter Walter de Gruyter |
| spellingShingle | Bernstein, Jacob Breiner, Christine Elaine Helicoid-like minimal disks and uniqueness |
| title | Helicoid-like minimal disks and uniqueness |
| title_full | Helicoid-like minimal disks and uniqueness |
| title_fullStr | Helicoid-like minimal disks and uniqueness |
| title_full_unstemmed | Helicoid-like minimal disks and uniqueness |
| title_short | Helicoid-like minimal disks and uniqueness |
| title_sort | helicoid like minimal disks and uniqueness |
| url | http://hdl.handle.net/1721.1/103320 |
| work_keys_str_mv | AT bernsteinjacob helicoidlikeminimaldisksanduniqueness AT breinerchristineelaine helicoidlikeminimaldisksanduniqueness |