Regularity of area minimizing currents III: blow-up
نویسندگان
چکیده
منابع مشابه
Regularity of Area Minimizing Currents Iii: Blow-up
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. 0. Introduction In this paper we complete the proof of a...
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In a series of papers, including the present one, we give a new, shorter proof of Almgren’s partial regularity theorem for area minimizing currents in a Riemannian manifold, with a slight improvement on the regularity assumption for the latter. This note establishes a new a priori estimate on the excess measure of an area minimizing current, together with several statements concerning approxima...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2016
ISSN: 0003-486X
DOI: 10.4007/annals.2016.183.2.3