Published Paper

Inserted: 21 aug 2015
Last Updated: 1 dec 2020

Journal: J. Differential Geom.
Volume: 116
Number: 1
Pages: 125-185
Year: 2020

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.

Keywords: regularity, integral currents, area minimizing, semicalibrations

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