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arXiv · 1306.1194

Regularity of area minimizing currents III: blow-up

Camillo De Lellis·Emanuele Spadaro
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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.

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Camillo De Lellis, Emanuele Spadaro. 2013-06-05. Regularity of area minimizing currents III: blow-up. https://arxiv.org/abs/1306.1194

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