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MiS Preprint
89/2007

Quasi-Hamiltonian structure and Hojman construction II: Nambu Mechanics and Nambu-Poisson structures

José Cariñena, Partha Guha and Manuel Rañada

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.

Received:
13.09.2007
Published:
13.09.2007
MSC Codes:
70H06, 70H20
Keywords:
Nambu Mechanics, quasi-Hamiltonian systems, superintegrability

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Preprint
2007 Repository Open Access
José F. Carinena, Manuel F. Ranada and Partha Guha

Quasi-Hamiltonian structure and Hojman construction II : Nambu Mechanics and Nambu-Poisson structures