On Poisson quasi-Nijenhuis Lie algebroids

Details On Poisson quasi-Nijenhuis Lie algebroids On Poisson quasi-Nijenhuis Lie algebroids

2008-06-15

arxiv.org/abs/0806.2467v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On Poisson quasi-Nijenhuis Lie algebroids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Poisson quasi-Nijenhuis Lie algebroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Poisson quasi-Nijenhuis Lie algebroids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-258941