De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca (2017). Regularity theory for 2-dimensional almost minimal currents II: Branched center manifold. Annals of PDE, 3(2):1-85.
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.
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.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2017 |
| Deposited On: | 01 Mar 2018 09:28 |
| Last Modified: | 26 Nov 2023 08:05 |
| Publisher: | Springer |
| ISSN: | 2199-2576 |
| Additional Information: | Artikel 18 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s40818-017-0035-7 |
De Lellis, Camillo