Regularity of area minimizing currents III: blow-up

Camillo De Lellis and Emanuele Spadaro

Contact the author: Please use for correspondence this email.
Submission date: 05. Jun. 2013
Pages: 33
published in: Annals of mathematics, 183 (2016) 2, p. 577-617 
DOI number (of the published article): 10.4007/annals.2016.183.2.3
Bibtex
Download full preprint: PDF (507 kB)

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.