Poisson quasi-Nijenhuis structures with background P

@inproceedings{Antunes2008PoissonQS,
  title={Poisson quasi-Nijenhuis structures with background P},
  author={P. Vale Antunes},
  year={2008}
}
We define the Poisson quasi-Nijenhuis structures with backg round on Lie algebroids and we prove that to any generalized complex structure on a Co urant algebroid which is the double of a Lie algebroid is associated such a structur e. We prove that any Lie algebroid with a Poisson quasi-Nijenhuis structure with ba ckground constitutes, with its dual, a quasi-Lie bialgebroid. We also prove that any pair (π,ω) of a Poisson bivector and a 2-form induces a Poisson quasi-Nijenhuis structure with b… CONTINUE READING
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