Liouville structures
Mathematical Physics
2008-06-10 v1 Differential Geometry
math.MP
Abstract
A 'Liouville structure' is a structure isomorphic to a cotangent vector fibration. A Liouville structure is an essential ingredient of every variational formulation of a physical theory. For reasons of interpretation the Liouville structure can not be replaced by the corresponding cotangent fibration. We give a precise definition of Liouville structures, study their properties, and give examples used in variational formulations of mechanics.
Cite
@article{arxiv.0806.1333,
title = {Liouville structures},
author = {W. M. Tulczyjew and P. Urbanski},
journal= {arXiv preprint arXiv:0806.1333},
year = {2008}
}