Regularity of higher codimension area minimizing integral currents
Differential Geometry
2015-01-16 v1
Abstract
This lecture notes are an expanded version of the course given at the ERC-School on Geometric Measure Theory and Real Analysis, held in Pisa, September 30th - October 30th 2013. The lectures aim to explain the main steps of a new proof of the partial regularity of area minimizing integer rectifiable currents in higher codimension, due originally to F. Almgren, which is contained in a series of papers in collaboration with C. De Lellis (University of Zurich).
Cite
@article{arxiv.1501.03720,
title = {Regularity of higher codimension area minimizing integral currents},
author = {Emanuele Spadaro},
journal= {arXiv preprint arXiv:1501.03720},
year = {2015}
}
Comments
This text will appear in "Geometric Measure Theory and Real Analysis", pp. 131--192, Proceedings of the ERC school in Pisa (2013), L. Ambrosio Ed., Edizioni SNS (CRM Series)