Regularity of area minimizing currents III: blow-up
Camillo De Lellis and Emanuele Spadaro
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Submission date: 05. Jun. 2013
published in: Annals of mathematics, 183 (2016) 2, p. 577-617
DOI number (of the published article): 10.4007/annals.2016.183.2.3
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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.