Compactness Theorems for Invariant Connections

Details Compactness Theorems for Invariant Connections Compactness Theorems for Invariant Connections

2000-04-07

arxiv.org/abs/math/0004041v1

Mathematics

Differential Geometry

24 pages, plain TeX. This paper is an updated version of dg-ga/9704007

Scientific paper

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 .

Affiliated with

Also associated with

No associations

Rating

Compactness Theorems for Invariant Connections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Compactness Theorems for Invariant Connections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compactness Theorems for Invariant Connections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442965