Regularity theory for 2-dimensional almost minimal currents III: blowup

Camillo De Lellis, Emanuele Spadaro, and Luca Spolaor

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Submission date: 15. Sep. 2015
Pages: 54
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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.