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https://hdl.handle.net/10316/11244
Title: | On Poisson quasi-Nijenhuis Lie algebroids | Authors: | Caseiro, Raquel Nicola, Antonio de Costa, Joana M. Nunes da |
Issue Date: | 2008 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 08-29 (2008) | 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. | URI: | https://hdl.handle.net/10316/11244 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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