Geometric dynamics on the automorphism group of principal bundles: geodesic flows, dual pairs and chromomorphism groups

François Gay-Balmaz, Cesare Tronci, Cornelia Vizman

We formulate Euler-Poincaré equations on the Lie group Aut(P) of automorphisms of a principal bundle P. The corresponding flows are referred to as EPAut flows. We mainly focus on g…