Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2007, Volume 3, Number 2, Pages 141–155 (Mi nd131)  
On the Darboux–Nijenhuis variables on the Poisson manifold $so^*(4)$

A. V. Vershilov, A. V. Tsiganov

Saint-Petersburg State University
Full-text PDF (261 kB)
Abstract: We classify quadratic Poisson structures on $so^*(4)$ and $e^*(3)$, which have the same foliations by symplectic leaves as canonical Lie-Poisson tensors. The separated variables for some of the corresponding bi-integrable systems are constructed.
Keywords: integrable system, bi-hamiltonian geometry, separation of variables.
Document Type: Article
UDC: 532.5
MSC: 70H20, 70H06, 37K10
Language: Russian
Citation: A. V. Vershilov, A. V. Tsiganov, “On the Darboux–Nijenhuis variables on the Poisson manifold $so^*(4)$”, Nelin. Dinam., 3:2 (2007), 141–155
Citation in format AMSBIB
\Bibitem{VerTsi07}
\by A.~V.~Vershilov, A.~V.~Tsiganov
\paper On the Darboux--Nijenhuis variables on the Poisson manifold~$so^*(4)$
\jour Nelin. Dinam.
\yr 2007
\vol 3
\issue 2
\pages 141--155
\mathnet{http://mi.mathnet.ru/nd131}
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    		Нелинейная динамика
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