$G$-Invariant Deformations of Almost-Coupling Poisson Structures
  On a foliated manifold equipped with an action of a compact Lie group $G$, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging. 
Jos\'e Antonio Vallejo and Yury Vorobiev
math.SG math-ph math.MP