Almgren's type regularity for Semicalibrated Currents
Analysis of PDEs
2016-02-10 v3 Differential Geometry
Abstract
In analogy with Almgren's Theorem for area minimizing currents of general dimension and codimension, we prove that an -dimensional semicalibrated current in a -dimensional manifold, semicalibrated by a -form, has singular set of Hausdorff dimension at most .
Keywords
Cite
@article{arxiv.1511.07705,
title = {Almgren's type regularity for Semicalibrated Currents},
author = {Luca Spolaor},
journal= {arXiv preprint arXiv:1511.07705},
year = {2016}
}
Comments
Expanded introduction, some typos corrected. arXiv admin note: text overlap with arXiv:1508.05509