On the completeness of the Manakov integrals
classification
🌊 nlin.SI
math-phmath.DGmath.MP
keywords
completenessintegralsmanakovtimesbodyclassdotsfixed
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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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