Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold
Author(s)De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
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We construct a branched center manifold in a neighborhood of a singular point of a 2-dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first 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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Annals of PDE
Springer International Publishing
De Lellis, Camillo, et al. “Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold.” Annals of PDE, vol. 3, no. 2, Dec. 2017.
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