Publications
2015
Issue 60

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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.

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Received:: 15.09.15

Published:: 15.09.15

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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

BibTex DOI: 10.1007/s40818-017-0035-7 ArXiv: 1508.05509

MiS Preprint Repository

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

Abstract

Related publications

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

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