Geodesic
On the completeness of the Manakov integrals
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 2, pp. 35-49

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The aim of this note is to present a simple proof of the completeness of the Manakov integrals for a motion of a rigid body fixed at a point in $\mathbb R^n$, as well as for geodesic flows on a class of homogeneous spaces $\mathrm{SO}(n)/\mathrm{SO}(n_1)\times\dots\times\mathrm{SO}(n_r)$. 
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     title = {On the completeness of the {Manakov} integrals},
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B. Gajić; V. Dragović; B. Jovanović. On the completeness of the Manakov integrals. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 2, pp. 35-49. http://geodesic.mathdoc.fr/item/FPM_2015_20_2_a2/