Invariant Yang–Mills connections over non-reductive pseudo-Riemannian homogeneous spaces
Invariant Yang–Mills connections over non-reductive pseudo-Riemannian homogeneous spaces
We study invariant gauge fields over the 4-dimensional non-reductive pseudo-Riemannian homogeneous spaces G/K recently classified by Fels & Renner (2006). Given H compact semi-simple, classification results are obtained for principal H-bundles over G/K admitting: (1) a G-action (by bundle automorphisms) projecting to left multiplication on the base, and (2) at …