On Nambu-Poisson manifolds

Reviews in Mathematical Physics

Volumn 10, Issue 4, 1998, Pages 499-510

  Nakanishi, Nobutada ^a  

^a GIFU KEIZAI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032369413     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X98000161     Document Type: Article

References (9)

1. R. Chatterjee and L. Takhtajan, "Aspects of classical and quantum Nambu mechanics", Lett. Math. Phys. 37 (1996) 475-482.
2. G. Dito, M. Flato, D. Sternheimer and L. Takhtajan, "Deformation quantization and Nambu mechanics", Commun. Math. Phys. (1996).
3. P. Gautheron, "Some remarks concerning Nambu mechanics", Lett. Math. Phys. 37 (1996) 103-116.
4. N. Nakanishi, "On the structure of infinitesimal automorphisms of linear Poisson manifolds II", J. Math. Kyoto Univ. 31 (1991) 281-287.
5. N. Nakanishi, "Poisson cohomology of plane quadratic Poisson structures", Publ. RIMS. Kyoto Univ. (1997).
6. Y. Nambu, "Generalized Hamiltonian mechanics", Phys. Rev. D7 (1973) 2405-2412.
7. L. Takhtajan, "On foundation of the generalized Nambu mechanics", Commun. Math. Phys. 160 (1994) 295-315.
8. I. Vaisman, Lectures on the geometry of Poisson manifolds, 1994, Birkhauser.
9. A. Weinstein, "The local structure of Poisson manifolds", J. Diff. Geom. 18 (1983) 523-557.