Publication: Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation
Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation
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De Lellis, C., Spadaro, E., & Spolaor, L. (2018). Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. Transactions of the American Mathematical Society, 370(3), 1783–1801. https://doi.org/10.1090/tran/6995
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We construct Lipschitz Q-valued functions which carefully approximate integral currents when their cylindrical excess is small and they are almost minimizing in a suitable sense. This result is used in two subsequent works to prove the discreteness of the singular set for the following three classes of 2-dimensional integral currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of 3-dimensional area minimizing cones.
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- De Lellis, Camillo
- Spadaro, Emanuele
- Spolaor, Luca
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De Lellis, C., Spadaro, E., & Spolaor, L. (2018). Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. Transactions of the American Mathematical Society, 370(3), 1783–1801. https://doi.org/10.1090/tran/6995
