Published Paper

Inserted: 2 jul 2013
Last Updated: 24 may 2017

Journal: Ann. of Math. (2)
Volume: 183
Pages: 577–617
Year: 2016

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

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• blow-up-R-revised-22.pdf