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Dirac-Nijenhuis structures on Lie bialgebroids. (English) Zbl 1091.53052

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.

MSC:

53D17 Poisson manifolds; Poisson groupoids and algebroids
58H05 Pseudogroups and differentiable groupoids

Citations:

Zbl 1051.53068
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References:

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