Regularity of area minimizing currents III: blow-up
Differential Geometry
2015-10-01 v4
Abstract
This is the last of a series of three papers in which we give a new, shorter proof of a slightly improved version of Almgren's partial regularity of area minimizing currents in Riemannian manifolds. Here we perform a blow-up analysis deducing the regularity of area minimizing currents from that of Dir-minimizing multiple valued functions.
Keywords
Cite
@article{arxiv.1306.1194,
title = {Regularity of area minimizing currents III: blow-up},
author = {Camillo De Lellis and Emanuele Spadaro},
journal= {arXiv preprint arXiv:1306.1194},
year = {2015}
}