Publication: Regularity of area minimizing currents III: blow-up
Regularity of area minimizing currents III: blow-up
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De Lellis, C., & Spadaro, E. N. (2016). Regularity of area minimizing currents III: blow-up. Annals of Mathematics. Second Series, 183(2), 577–617. https://doi.org/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.
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De Lellis, C., & Spadaro, E. N. (2016). Regularity of area minimizing currents III: blow-up. Annals of Mathematics. Second Series, 183(2), 577–617. https://doi.org/10.4007/annals.2016.183.2.3