All Poisson Structures in $R^3$

Konstantyn Zheltukhin; Metin Gurses

arxiv: nlin/0304057 · v2 · pith:OX3PUN2Enew · submitted 2003-04-29 · 🌊 nlin.SI · hep-th· math.DG· math.DS

All Poisson Structures in R³

Metin Gurses , Konstantyn Zheltukhin This is my paper

classification 🌊 nlin.SI hep-thmath.DGmath.DS

keywords generalpoissonstructuressystemsbi-hamiltoniancompatibleconsideredcorresponding

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Hamiltonian formulation of N=3 systems is considered in general. The most general solution of the Jacobi equation in ${\mathbb R}^3$ is proposed. Compatible Poisson structures and the corresponding bi-Hamiltonian N=3 systems are also discussed.

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All Poisson Structures in R³

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