Partial regularity for harmonic maps, and related problems
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
Via Gauge theory, we give a new proof of partial regularity for harmonic maps in dimension m>2 into arbitrary targets. This proof avoids the use of adapted frames and permits to consider targets of "minimal" C^2 regularity. The proof we present moreover extends to a large class of elliptic systems of quadratic growth.
Keywords
Cite
@article{arxiv.math/0604635,
title = {Partial regularity for harmonic maps, and related problems},
author = {Tristan Riviere and Michael Struwe},
journal= {arXiv preprint arXiv:math/0604635},
year = {2007}
}
Comments
10 pages