A Compactness Theorem for Invariant Connections
dg-ga
2008-02-03 v3 Differential Geometry
Abstract
Necessary and sufficient conditions are given for the Palais-Smale Condition C to hold for the Yang-Mills functional for invariant connections on a principal bundle over a compact manifold of any dimension. It is assumed that the connections are invariant under the action of a compact Lie group on the manifold, and that all orbits of the action have codimension three or less.
Cite
@article{arxiv.dg-ga/9704007,
title = {A Compactness Theorem for Invariant Connections},
author = {Johan Rade},
journal= {arXiv preprint arXiv:dg-ga/9704007},
year = {2008}
}
Comments
25 pages, plain TeX. Revised version: the paper has been reorganized, some minor errors have been corrected, more examples have been added