Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold
Analysis of PDEs
2017-09-05 v2 Differential Geometry
Abstract
We construct a branched center manifold in a neighborhood of a singular point of a -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 -dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of -dimensional area minimizing cones.
Keywords
Cite
@article{arxiv.1508.05509,
title = {Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold},
author = {Camillo De Lellis and Emanuele Spadaro and Luca Spolaor},
journal= {arXiv preprint arXiv:1508.05509},
year = {2017}
}