A Compactness Theorem for Invariant Connections

Details A Compactness Theorem for Invariant Connections A Compactness Theorem for Invariant Connections

1997-04-10

arxiv.org/abs/dg-ga/9704007v3

Mathematics

Differential Geometry

25 pages, plain TeX. Revised version: the paper has been reorganized, some minor errors have been corrected, more examples hav

Scientific paper

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.

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