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September 2020 Regularity theory for $2$-dimensional almost minimal currents III: Blowup
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
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J. Differential Geom. 116(1): 125-185 (September 2020). DOI: 10.4310/jdg/1599271254

Abstract

We analyze the asymptotic behavior of a $2$-dimensional integral current which is almost minimizing in a suitable sense at a singular point. Our analysis is the second half of an argument which shows the discreteness of the singular set for the following three classes of $2$-dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of $3$-dimensional area minimizing cones.

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Camillo De Lellis. Emanuele Spadaro. Luca Spolaor. "Regularity theory for $2$-dimensional almost minimal currents III: Blowup." J. Differential Geom. 116 (1) 125 - 185, September 2020. https://doi.org/10.4310/jdg/1599271254

Information

Received: 21 February 2017; Published: September 2020
First available in Project Euclid: 5 September 2020

zbMATH: 07246682
MathSciNet: MR4146358
Digital Object Identifier: 10.4310/jdg/1599271254

Rights: Copyright © 2020 Lehigh University

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Vol.116 • No. 1 • September 2020
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