Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

C. De Lellis - E. Spadaro

Regularity of area-minimizing currents III: blow up

created by delellis on 02 Jul 2013
modified on 30 Sep 2015

[BibTeX]

Accepted Paper

Inserted: 2 jul 2013
Last Updated: 30 sep 2015

Journal: Ann. of Math.
Year: 2013

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: regularity, area minimizing, Integer rectifiable currents


Download:

Credits | Cookie policy | HTML 4.0.1 strict | CSS 2.1