Publication: Regularity theory for 2-dimensional almost minimal currents II: Branched center manifold
Regularity theory for 2-dimensional almost minimal currents II: Branched center manifold
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De Lellis, C., Spadaro, E., & Spolaor, L. (2017). Regularity theory for 2-dimensional almost minimal currents II: Branched center manifold. Annals of PDE, 3(2), 1–85. https://doi.org/10.1007/s40818-017-0035-7
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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.
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De Lellis, C., Spadaro, E., & Spolaor, L. (2017). Regularity theory for 2-dimensional almost minimal currents II: Branched center manifold. Annals of PDE, 3(2), 1–85. https://doi.org/10.1007/s40818-017-0035-7
