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MiS Preprint
60/2015

Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold

Camillo De Lellis, Emanuele Spadaro and Luca Spolaor

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.

Received:
Sep 15, 2015
Published:
Sep 15, 2015

Related publications

inJournal
2017 Repository Open Access
Camillo De Lellis, Emanuele Spadaro and Luca Spolaor

Regularity theory for 2-dimensional almost minimal currents II : branched center manifold

In: Annals of PDE, 3 (2017) 2, p. 18