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arXiv · 0806.2467

On Poisson quasi-Nijenhuis Lie algebroids

Raquel Caseiro·Antonio De Nicola·Joana M. Nunes da Costa
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Abstract

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.

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Raquel Caseiro, Antonio De Nicola, Joana M. Nunes da Costa. 2008-06-15. On Poisson quasi-Nijenhuis Lie algebroids. https://arxiv.org/abs/0806.2467

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