| Title | Uniqueness of tangent cones for 2-dimensional almost minimizing currents |
| Publication Type | Journal Article |
| Year of Publication | 2017 |
| Authors | De Lellis C., Spadaro E., Spolaor L. |
| Journal | Communications on Pure and Applied Mathematics |
| Volume | 70 |
| Pagination | 1402–1421 |
| Date Published | July |
| Publisher | Wiley-Blackwell Publishing, Inc. |
| Type of Article | Interior regularity |
| ISSN | 0010-3640 |
| Abstract | We consider two-dimensional integer rectifiable currents that are almost area minimizing and show that their tangent cones are everywhere unique. Our argument unifies a few uniqueness theorems of the same flavor, which are all obtained by a suitable modification of White's original theorem for area-minimizing currents in the euclidean space. This note is also the first step in a regularity program for semicalibrated two-dimensional currents and spherical cross sections of three-dimensional area-minimizing cones. |
| Notes | Comm. Pure Appl. Math. 70, 1402-1421 |
| URL | https://onlinelibrary.wiley.com/toc/10970312/70/7 |
| DOI | 10.1002/cpa.21690 |
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