Quasi-Hamiltonian structure and Hojman construction II: Nambu Mechanics and Nambu-Poisson structures
José Carińena, Partha Guha, and Manuel Rańada
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Submission date: 13. Sep. 2007
paper submitted to: J. Math. Anal. Appl.
MSC-Numbers: 70H06, 70H20
Keywords and phrases: Nambu Mechanics, quasi-Hamiltonian systems, superintegrability
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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.