On the completeness of the Manakov integrals

preprint2015arXivOpen access

The aim of this note is to present simple proofs of the completeness of Manakov's 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 $SO(n)/SO(n_1)\times\dots\times SO(n_r)$ .

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On the completeness of the Manakov integrals

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