Generalized Nambu dynamics and vectorial Hamiltonians
Differential Geometry
2009-04-29 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0904.4326,
title = {Generalized Nambu dynamics and vectorial Hamiltonians},
author = {V. N. Dumachev},
journal= {arXiv preprint arXiv:0904.4326},
year = {2009}
}
Comments
5 pages