Mathematics – Differential Geometry
Scientific paper
2011-05-17
Russian Mathematics (Iz VUZ), 2011, V.55. No.3. P.1-7
Mathematics
Differential Geometry
10 pages
Scientific paper
We present a generalization of the Nambu mechanics on the base of Liouville's
theorem. We prove that the Poisson structure of an n-dimensional
multisymplectic phase space is induced by (n-1)-Hamiltonian k-vector field
seach of which requires introduction of k-Hamiltonians.
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