|Title||Regularity theory for 2-dimensional almost minimal currents II: branched center manifold|
|Publication Type||Journal Article|
|Year of Publication||2017|
|Authors||De Lellis C., Spadaro E., Spolaor L.|
|Journal||Annals of PDE|
|Type of Article||Interior regularity|
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.
Ann. PDE 3 (2017), no. 2, Art. 18, 85 pp.