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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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:
Sep 13, 2007
Published:
Sep 13, 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