Regularity theory for $2$-dimensional almost minimal currents III: blowup
Analysis of PDEs
2015-08-25 v1 Differential Geometry
Abstract
We analyze the asymptotic behavior of a -dimensional integral current which is almost minimizing in a suitable sense at a singular point. Our analysis is the second 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.1508.05510,
title = {Regularity theory for $2$-dimensional almost minimal currents III: blowup},
author = {Camillo De Lellis and Emanuele Spadaro and Luca Spolaor},
journal= {arXiv preprint arXiv:1508.05510},
year = {2015}
}