Jacobi Structures in $\mathbb{R}^3$

Details Jacobi Structures in $\mathbb{R}^3$ Jacobi Structures in $\mathbb{R}^3$

2005-05-20

arxiv.org/abs/math-ph/0505056v2

Physics

Mathematical Physics

Scientific paper

10.1063/1.2040347

The most general Jacobi brackets in $\mathbb{R}^3$ are constructed after
solving the equations imposed by the Jacobi identity. Two classes of Jacobi
brackets were identified, according to the rank of the Jacobi structures. The
associated Hamiltonian vector fields are also constructed.

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