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.
Regularity theory for $2$-dimensional almost minimal currents III: Blowup / De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca. - In: JOURNAL OF DIFFERENTIAL GEOMETRY. - ISSN 0022-040X. - 116:1(2020), pp. 125-185. [10.4310/jdg/1599271254]
Regularity theory for $2$-dimensional almost minimal currents III: Blowup
Spadaro, Emanuele;
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.| File | Dimensione | Formato | |
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