On Poisson quasi-Nijenhuis Lie algebroids

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dc.creatorCaseiro, Raquel
dc.creatorDe Nicola, Antonio
dc.creatorda Costa, Joana M. Nunes
dc.date2008-06-15
dc.date.accessioned2026-07-07T09:44:46Z
dc.date.available2026-07-07T09:44:46Z
dc.descriptionWe 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0806.2467
dc.identifierhttp://arxiv.org/abs/0806.2467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162990
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53D17; 17B62; 17B66
dc.titleOn Poisson quasi-Nijenhuis Lie algebroids
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