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.
Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold / De Lellis, C.; Spadaro, E.; Spolaor, L.. - In: ANNALS OF PDE. - ISSN 2199-2576. - 3:2(2017). [10.1007/s40818-017-0035-7]
Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold
Spadaro E.;
2017
Abstract
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.File | Dimensione | Formato | |
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