Almgren's type regularity for Semicalibrated Currents

Luca Spolaor

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arXiv · 1511.07705

Almgren's type regularity for Semicalibrated Currents

Luca Spolaor

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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 $m-2$.

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Luca Spolaor. 2015-11-24. Almgren's type regularity for Semicalibrated Currents. https://arxiv.org/abs/1511.07705

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