Compactness Theorems for Invariant Connections
Differential Geometry
2016-09-07 v1
Abstract
Necessary and sufficient conditions are given for the Palais-Smale Condition C to hold for the Yang-Mills functional for connections that are invariant under a Lie group action on the manifold with orbits of codimension less than or equal to three. As an application the mountain pass lemma is used to give a simple proof of Wang's theorem on the existence of irreducible non-(anti-)selfdual instantons on S^2 x S^2 .
Cite
@article{arxiv.math/0004041,
title = {Compactness Theorems for Invariant Connections},
author = {Johan Rade},
journal= {arXiv preprint arXiv:math/0004041},
year = {2016}
}
Comments
24 pages, plain TeX. This paper is an updated version of dg-ga/9704007