Geodesic
Regularity of area minimizing currents III: blow-up
Camillo De Lellis1 ; Emanuele Spadaro2
1 Mathematik Institut der Universität Zürich, Switzerland
2 Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany
Annals of mathematics, Tome 183 (2016) no. 2, pp. 577-617.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2016.183.2.3

Camillo De Lellis 1 ; Emanuele Spadaro 2

1 Mathematik Institut der Universität Zürich, Switzerland
2 Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany 
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Camillo De Lellis; Emanuele Spadaro. Regularity of area minimizing currents III: blow-up. Annals of mathematics, Tome 183 (2016) no. 2, pp. 577-617. doi : 10.4007/annals.2016.183.2.3. http://geodesic.mathdoc.fr/articles/10.4007/annals.2016.183.2.3/

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