Abstract
In this paper we study some properties of a Lie algebroid and its prolongation over the vector bundle projection of the dual bundle. We generalize some results on Poisson manifolds to the level of a Lie algebroid. The notions of canonical Poisson bivector and horizontal lift are studied and their compatibility conditions are pointed out.
Information
Published: 1 January 2009
First available in Project Euclid: 13 July 2015
zbMATH: 1226.53079
MathSciNet: MR2757837
Digital Object Identifier: 10.7546/giq-10-2009-227-236
Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
