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arxiv: 0802.3951 · v1 · submitted 2008-02-27 · 🌊 nlin.SI

On bi-hamiltonian geometry of the Lagrange top

classification 🌊 nlin.SI
keywords bi-hamiltoniandifferentlagrangeassociatedbivectorbivectorscanonicalcoboundaries
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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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