Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold
We construct a branched center manifold in a neighborhood of a singular point of a 2-dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of 2-di...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer International Publishing
2018
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| Online Access: | http://hdl.handle.net/1721.1/116180 |
| _version_ | 1811077259337924608 |
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| author | De Lellis, Camillo Spadaro, Emanuele Spolaor, Luca |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics De Lellis, Camillo Spadaro, Emanuele Spolaor, Luca |
| author_sort | De Lellis, Camillo |
| collection | MIT |
| description | We construct a branched center manifold in a neighborhood of a singular point of a 2-dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of 2-dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of 3-dimensional area minimizing cones. |
| first_indexed | 2024-09-23T10:40:11Z |
| format | Article |
| id | mit-1721.1/116180 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:40:11Z |
| publishDate | 2018 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1161802022-09-30T22:10:40Z Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold De Lellis, Camillo Spadaro, Emanuele Spolaor, Luca Massachusetts Institute of Technology. Department of Mathematics Spolaor, Luca We construct a branched center manifold in a neighborhood of a singular point of a 2-dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of 2-dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of 3-dimensional area minimizing cones. 2018-06-08T17:24:02Z 2018-08-05T05:00:06Z 2017-10 2017-11-08T16:51:09Z Article http://purl.org/eprint/type/JournalArticle 2199-2576 http://hdl.handle.net/1721.1/116180 De Lellis, Camillo, et al. “Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold.” Annals of PDE, vol. 3, no. 2, Dec. 2017. en http://dx.doi.org/10.1007/s40818-017-0035-7 Annals of PDE 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. Springer International Publishing AG application/pdf Springer International Publishing Springer International Publishing |
| spellingShingle | De Lellis, Camillo Spadaro, Emanuele Spolaor, Luca Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold |
| title | Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold |
| title_full | Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold |
| title_fullStr | Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold |
| title_full_unstemmed | Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold |
| title_short | Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold |
| title_sort | regularity theory for 2 dimensional almost minimal currents ii branched center manifold |
| url | http://hdl.handle.net/1721.1/116180 |
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