Lifts of Poisson structures to Weil bundles

Details Lifts of Poisson structures to Weil bundles Lifts of Poisson structures to Weil bundles

2009-07-31

arxiv.org/abs/0907.5560v1

Mathematics

Differential Geometry

45 pages

Scientific paper

In the present paper, we study complete and vertical lifts of tensor fields from a smooth manifold $M$ to its Weil bundle $T^A M$ defined by a Frobenius Weil algebra $A$. For a Poisson manifold $(M,w)$, we show that the complete lift $w^C$ and the vertical lift $w^V$ of the Poisson tensor $w$ are Poisson tensors on $T^A M$ and establish their properties. We prove that the complete and the vertical lifts induce homomorphisms of the Poisson cohomology spaces. We compute the modular classes of the lifts of Poisson structures.

Affiliated with

Also associated with

No associations

Rating

Lifts of Poisson structures to Weil bundles 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 Lifts of Poisson structures to Weil bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lifts of Poisson structures to Weil bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-267949