2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228706On the basis of Liouville theorem the generalization of the Nambu mechanics is considered. Is shown, that Poisson manifolds of n-dimensional multi-symplectic phase space have inducting by (n-1) Hamiltonian k-vector fields, each of which requires of (k)-hamiltonians.5 pagesDifferential GeometryMathematical Physics53DxxGeneralized Nambu dynamics and vectorial Hamiltonianstext