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Quasi-Hamiltonian structure and Hojman construction II: Nambu Mechanics and Nambu-Poisson structures
José Cariñena, Partha Guha and Manuel RañadaAbstract
In this paper we extend Hojman's approach of the non standard Hamiltonian structure to the Nambu-Poisson case. In particular the relationship between the generalized non standard Hamiltonian structure and the degenerate quasi Nambu-Hamiltonian structures is unveiled in this paper. We also provide ample applications of our construction.
- Received:
- 13.09.07
- Published:
- 13.09.07
- MSC Codes:
- 70H06, 70H20
- Keywords:
- Nambu Mechanics, quasi-Hamiltonian systems, superintegrability