  Reduced sh-Lie structures have been studied for the case when a Lie group
acts on the fibers of a vector bundle while preserving the base space of the
bundle. In this paper we investigate how one obtains a reduced sh-Lie structure
using the ideas of symmetry reduction where the action of the Lie group is
transversal to the fibers of the bundle. We also show how local functionals are
reduced using these ideas.
