Hamiltonian Dynamics on Lie Algebroids, Unimodularity and Preservation of Volumes
arXiv:0905.0123
Abstract
In this paper we discuss the relation between the unimodularity of a Lie algebroid and the existence of invariant volume forms for the hamiltonian dynamics on the dual bundle . The results obtained in this direction are applied to several hamiltonian systems on different examples of Lie algebroids.
16 pages