On Poisson quasi-Nijenhuis Lie algebroids

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We propose a definition of Poisson quasi-Nijenhuis Lie algebroids as a natural generalization of Poisson quasi-Nijenhuis manifolds and show that any such Lie algebroid has an associated quasi-Lie bialgebroid. Therefore, also an associated Courant algebroid is obtained. We introduce the notion of a morphism of quasi-Lie bialgebroids and of the induced Courant algebroids morphism and provide some examples of Courant algebroid morphisms. Finally, we use paired operators to deform doubles of Lie and quasi-Lie bialgebroids and find an application to generalized complex geometry.
12 pages

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Differential Geometry, Symplectic Geometry, 53D17; 17B62; 17B66

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http://salesiana.dossiersoluciones.com/handle/123456789/162990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.2467
 http://arxiv.org/abs/0806.2467

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arXiv