Preprint 2/2016

Almgren's type regularity for semicalibrated currents

Luca Spolaor

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Submission date: 13. Jan. 2016
Pages: 59
Bibtex
Keywords and phrases: geometric measure theory, Analysis and PDE, Regularity of Minimal Surfaces
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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 C3,𝜀0 manifold, semicalibrated by a C2,𝜀0 m-form, has singular set of Hausdorff dimension at most m 2.

07.06.2018, 02:12