Geodesic
On isomorphism of integrable cases of the Euler equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 200-212

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The Poisson maps between the Clebsch model and the Schottky system, two Steklov systems, the Kowalevski top and the Neumann system are considered. We prove that these non-canonical transformations of variables are the twisted Poisson maps, which completely define the corresponding pairs of integrable systems. 
@article{ZNSL_2004_317_a10,
     author = {A. V. Tsiganov},
     title = {On isomorphism of integrable cases of the {Euler} equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {200--212},
     publisher = {mathdoc},
     volume = {317},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a10/}
}
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A. V. Tsiganov. On isomorphism of integrable cases of the Euler equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 200-212. http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a10/