Phase Flows and Vector Hamiltonians

Mathematics – Differential Geometry

Scientific paper

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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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