Liouville structures

Details Liouville structures Liouville structures

2008-06-08

arxiv.org/abs/0806.1333v1

Physics

Mathematical Physics

Scientific paper

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.

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