On the Darboux-Nijenhuis Variables on the Poisson Manifold $so^*(4)$
2007, Vol. 3, No. 2, pp. 141-155
Author(s): Vershilov A. V., Tsiganov A. V.
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
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