Jacobi metric for the Bartnik/McKinnonSU(2)-EYM field

Motivated by the possibility of applying the Killing vector fields of the Jacobi metric for a particular spacetime-matter configuration to generate new solutions by continuous 1-parameter point transformations, we examine the associated Jacobi metric for theSU(2)-EYM field as given by Bartnik and McKinnon to see if internal symmetries of this kind exist. However, the only solution of the Killing equations we find is ^a=0. In addition we mention more general symmetry properties of the Jacobi metric.