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Hamiltonian Dynamics on Lie Algebroids, Unimodularity and Preservation of Volumes
- Publication Year :
- 2009
- Publisher :
- arXiv, 2009.
-
Abstract
- In this paper we discuss the relation between the unimodularity of a Lie algebroid $\tau_{A}: A\to Q$ and the existence of invariant volume forms for the hamiltonian dynamics on the dual bundle $A^{*}$. The results obtained in this direction are applied to several hamiltonian systems on different examples of Lie algebroids.<br />Comment: 16 pages
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....f82076f2aa3afbe4611c8c8a68cf93d3
- Full Text :
- https://doi.org/10.48550/arxiv.0905.0123