Geometry of nonabelian charged fluids

The goal of this paper is to derive the Hamiltonian structure of polarized and magnetized Euler-Maxwell fluids by reduction of the canonical symplectic form on phase space, and to generalize the dynamics to the non-abelian case. The Hamiltonian function we propose in this case, allows us to unify and relate in a simple way the main models of nonabelian charged fluids and their Hamiltonian structures.