The structure of the space of homogeneous Yang–Mills fields

Abstract

The structure of the space of solutions of Yang–Mills equations is examined for solutions that are required to have a specified set of infinitesimal space-time symmetries. It is shown that when the set consists of Killing vector fields, which are tangent to a compact spacelike Cauchy surface, the space is a smooth ILH manifold near each solution that has only trivial gauge symmetries.