TitleRegularity of area-minimizing currents III: blow-up
Publication TypeJournal Article
Year of Publication2016
AuthorsDe Lellis C., Spadaro E.
JournalAnnals of Mathematics. Second Series
Volume183
Pagination577–617
PublisherMathematical Sciences Publishers
Type of ArticleInterior regularity
ISSN0003-486X
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.

Notes

Ann. of Math. (2) 183 (2016), no. 2, 577–617.

URLhttp://annals.math.princeton.edu/2016/183-2/p03
DOI10.4007/annals.2016.183.2.3
Order: 
4