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MiS Preprint
57/2013

Regularity of area minimizing currents III: blow-up

Camillo De Lellis and Emanuele Spadaro

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.

Received:
Jun 5, 2013
Published:
Jun 17, 2013

Related publications

inJournal
2016 Repository Open Access
Camillo De Lellis and Emanuele Spadaro

Regularity of area minimizing currents III : blow-up

In: Annals of mathematics, 183 (2016) 2, pp. 577-617