Generalized Nambu dynamics and vectorial Hamiltonians

Details Generalized Nambu dynamics and vectorial Hamiltonians Generalized Nambu dynamics and vectorial Hamiltonians

2009-04-28

arxiv.org/abs/0904.4326v1

Mathematics

Differential Geometry

5 pages

Scientific paper

On 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.

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