Calculus of Variations and Geometric Measure Theory
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L. Spolaor

Almgren's type regularity for Semicalibrated Currents

created by spolaor on 24 Nov 2015
modified on 09 Feb 2016



Inserted: 24 nov 2015
Last Updated: 9 feb 2016

Year: 2015


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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