2008/06/15 by Raquel Caseiro, Caseiro, Raquel, Antonio De Nicola +3
Mathematics · Medicine · #17B62 #17B66 #53D17 #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:17B62 #msc:17B66 #msc:53D17
paper · pdf · doi:10.48550/arxiv.0806.2467
12 pages
arxiv created 2008/06/15 · openalex publication_date 2008/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
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.