B. Gajić, V. Dragović, B. Jovanović, “On the completeness of the Manakov integrals”, Fundam. Prikl. Mat., 2015, Volume 20, Issue 2,Pages <nobr>35

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On the completeness of the Manakov integrals

B. Gajić^a, V. Dragović^ab, B. Jovanović^a

^a Mathematical Institute, Serbian Academy of Sciences and Arts, Serbia
^b The University of Texas at Dallas, USA

Abstract: 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 $\mathrm{SO}(n)/\mathrm{SO}(n_1)\times\dots\times\mathrm{SO}(n_r)$.

UDC: 513.944