Geodesic
On classification of the compatible Lie--Poisson brackets on the manifold~$e^*(3)$
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 231-245

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Classification of the compatible ie–Poisson brackets on the manifold $e^*(3)$ is constructed. The corresponding bi-Hamiltonian systems are the classical integrable cases of the Euler–Poisson and Kirvhhof equations describing the motion of a solid body. 
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     author = {A. V. Tsiganov},
     title = {On classification of the compatible {Lie--Poisson} brackets on the manifold~$e^*(3)$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {231--245},
     publisher = {mathdoc},
     volume = {335},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a11/}
}
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A. V. Tsiganov. On classification of the compatible Lie--Poisson brackets on the manifold~$e^*(3)$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 231-245. http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a11/