Hamiltonian Dynamics on Lie Algebroids, Unimodularity and Preservation of Volumes

نویسندگان

  • JUAN C. MARRERO
  • J. C. MARRERO
چکیده

In this paper we discuss the relation between the unimodularity of a Lie algebroid τA : A → 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.

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تاریخ انتشار 2009