Dirac-Nijenhuis structures on Lie bialgebroids (Q819282)

The authors study necessary and sufficient conditions for a structure to be a Dirac Nijenhuis structure. This work is a continuation of a preceeding paper where the authors gave a compatibility condition for Dirac structures and Nijenhuis tensors on manifolds. The authors generalize the notion of Dirac Nijenhuis structures for Lie bialgebroids. Their properties are studied and, finally, the fundamental sections of Dirac Nijenhuis structures are discussed.