Some linear Jacobi structures on vector bundles

Details Some linear Jacobi structures on vector bundles Some linear Jacobi structures on vector bundles

2000-07-24

arxiv.org/abs/math/0007138v1

Mathematics

Differential Geometry

6 pages, To appear in C. R. Acad. Sci. Paris, S\'erie I

Scientific paper

10.1016/S0764-4442(00)00512-7

We study Jacobi structures on the dual bundle $A^\ast$ to a vector bundle $A$ such that the Jacobi bracket of linear functions is again linear and the Jacobi bracket of a linear function and the constant function 1 is a basic function. We prove that a Lie algebroid structure on $A$ and a 1-cocycle $\phi \in \Gamma (A^\ast)$ induce a Jacobi structure on $A^\ast$ satisfying the above conditions. Moreover, we show that this correspondence is a bijection. Finally, we discuss some examples and applications.

Affiliated with

Also associated with

No associations

Rating

Some linear Jacobi structures on vector 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 Some linear Jacobi structures on vector bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some linear Jacobi structures on vector bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-106389