Accepted Paper
Inserted: 24 nov 2015
Last Updated: 16 oct 2018
Journal: Adv. Math.
Year: 2018
Abstract:
In analogy with Almgren's Theorem for area minimizing currents of general dimension and codimension, we prove that an $m$-dimensional semicalibrated current in a $(n+m)$-dimensional $C^{3,\varepsilon_0}$ manifold, semicalibrated by a $C^{2,\varepsilon_0}$ $m$-form, has singular set of Hausdorff dimension at most $m-2$.
Keywords: Integral Currents, Semicalibrations, Regularity
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