

Preprint 89/2007
Quasi-Hamiltonian structure and Hojman construction II: Nambu Mechanics and Nambu-Poisson structures
José Cariñena, Partha Guha, and Manuel Rañada
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Submission date: 13. Sep. 2007
Pages: 13
Bibtex
MSC-Numbers: 70H06, 70H20
Keywords and phrases: Nambu Mechanics, quasi-Hamiltonian systems, superintegrability
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Abstract:
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.