Poisson quasi-Nijenhuis structures with background P

  title={Poisson quasi-Nijenhuis structures with background P},
  author={P. Vale Antunes},
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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Poisson quasi-Nijenhuis manifol ds, Comm

  • M. Stiénon, P. Xu
  • Math. Phys., 270, no. 3, 709–725,
  • 2007
Highly Influential
6 Excerpts

Reduction and submanifolds of generalized complex manifolds, Differential Geom

  • I. Vaisman
  • Appl., 25, no. 2, 147–166,
  • 2007
Highly Influential
7 Excerpts

A geometrical characterization of integrable Hamiltonian systems through the theory of Poisson-Nijenhuis manifolds, Qu aderno S.19

  • F. Magri, C. Morosi
  • Univ of Milan,
  • 1984
Highly Influential
5 Excerpts

On Poisson functions, J

  • Y. Terashima
  • Symplectic Geom ., 6, no. 1, 1–7,
  • 2008
2 Excerpts

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