Full paper in PDF:
$%A. Awane, M. Belam, S. Fikri, M. Lahmouz, and B. Naanani, Systèmes hamiltoniens k-symplectiques, Rev. Mat. Complut. 15 (2002), no. 1, 147–167.%$
We study some properties of the -symplectic Hamiltonian systems in analogy with the well-known classical Hamiltonian systems. The integrability of -symplectic Hamiltonian systems and the relationships with the Nambu’s statistical mechanics are given.
Key words: Lagrangian spaces, symplectic structure, Hamiltonian systems, Poisson
2000 Mathematics Subject Classification: 20F05, 20F26, 51A10, 70Hxx.