On bi-hamiltonian geometry of the Lagrange top

Details On bi-hamiltonian geometry of the Lagrange top On bi-hamiltonian geometry of the Lagrange top

2008-02-27

arxiv.org/abs/0802.3951v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, LaTeX with AMS fonts

Scientific paper

10.1088/1751-8113/41/31/315212

We consider three different incompatible bi-Hamiltonian structures for the
Lagrange top, which have the same foliation by symplectic leaves. These
bivectors may be associated with the different 2-coboundaries in the
Poisson-Lichnerowicz cohomology defined by canonical bivector on $e^*(3)$.

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