Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections

We characterize symmetry transformations of Lagrangian extremals generating “on shell” conservation laws. relate to Jacobi fields and study symmetries higher variations by proving that a pair given the lth variation field sth same (with s < l) is associated with an “off conserved current. The current two constructed, as case study, its expression for invariant sets Yang–Mills connections on Minkowski space-times obtained.