Geodesic
Integrable systems, Poisson pencils, and hyperelliptic Lax pairs
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 87-103

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A new Lax pair for the multidimensional Manakov system on the Lie algebra $\mathrm{so}(m)$ with a spectral parameter defined on a certain unramified covering of a hyperelliptic curve is considered. For the Clebsh–Perelomov system on the Lie algebra $e(n)$, similar pairs are presented. Multidimensional analogs of the classical integrable Steklov–Lyapunov system describing a motion of a rigid body in an ideal fluid are found. Bibl. 15 titles. 
@article{ZNSL_1996_235_a4,
     author = {Yu. Fedorov},
     title = {Integrable systems, {Poisson} pencils, and hyperelliptic {Lax} pairs},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {87--103},
     publisher = {mathdoc},
     volume = {235},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a4/}
}
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Yu. Fedorov. Integrable systems, Poisson pencils, and hyperelliptic Lax pairs. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 87-103. http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a4/