Dumachev V. N.
Phase flows in $J^n(π)$
2006, Vol. 2, No. 3, pp. 287-292
On the bais 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 $(n-1)$ Hamilton $k$-vectors fields, each of which requires of $(k)$-hamiltonians.