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.
@article{urn:eudml:doc:44414, title = {Syst\`emes hamiltoniens k-symplectiques.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {15}, year = {2002}, pages = {147-167}, zbl = {1023.37032}, mrnumber = {MR1915220}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44414} }
Awane, Azzouz; Belam, Mohamed; Fikri, Sadik; Lahmouz, Mohammed; Naanani, Bouchra. Systèmes hamiltoniens k-symplectiques.. Revista Matemática de la Universidad Complutense de Madrid, Tome 15 (2002) pp. 147-167. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44414/