All Poisson Structures in $R^3$
Exactly Solvable and Integrable Systems
2007-05-23 v2 High Energy Physics - Theory
Differential Geometry
Dynamical Systems
Abstract
Hamiltonian formulation of N=3 systems is considered in general. The most general solution of the Jacobi equation in is proposed. Compatible Poisson structures and the corresponding bi-Hamiltonian N=3 systems are also discussed.
Cite
@article{arxiv.nlin/0304057,
title = {All Poisson Structures in $R^3$},
author = {Metin Gurses and Konstantyn Zheltukhin},
journal= {arXiv preprint arXiv:nlin/0304057},
year = {2007}
}
Comments
A reference is corrected