Full paper in PDF:
$%A. Awane, M. Belam, S. Fikri, M. Lahmouz, and B. Naanani, Systèmes hamiltoniens k-symplectiques, Rev. Mat. Complut. 15 (2002), no. 1, 147–167.%$

Systèmes hamiltoniens k-symplectiques
Azzouz AWANE, Mohamed BELAM,
Sadik FIKRI, Mohammed LAHMOUZ,
and Bouchra NAANANI
Université Hassan II-Mohammedia
Faculté des Sciences de Ben Msik
Département de Mathématiques
B.P. 7955, Boulevard Driss Harti
Casablanca — Morocco

Received: July 5, 2000
Revised: December 12, 2000

ABSTRACT

We study some properties of the k -symplectic Hamiltonian systems in analogy with the well-known classical Hamiltonian systems. The integrability of k -symplectic Hamiltonian systems and the relationships with the Nambu’s statistical mechanics are given.

Key words: Lagrangian spaces, symplectic structure, Hamiltonian systems, Poisson bracket.
2000 Mathematics Subject Classification: 20F05, 20F26, 51A10, 70Hxx.