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On the Completeness of the Manakov Integrals

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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 ℝn, as well as for geodesic flows on a class of homogeneous spaces SO(n)/SO(n 1)×· · ·×SO(n r ).

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Authors and Affiliations

  1. Mathematical Institute SANU, Kneza Mihaila 36, Belgrade, 11000, Serbia

    B. Gajić, V. Dragović & B. Jovanović

  2. University of Texas at Dallas, 800 West Campbell Road, Richardson, TX, 75080-3021, USA

    V. Dragović

Authors
  1. B. Gajić
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  2. V. Dragović
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  3. B. Jovanović
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Corresponding author

Correspondence to B. Gajić.

Additional information

Dedicated to Academician Anatoly Timofeevich Fomenko on the occasion of his 70th birthday

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 2, pp. 35–49, 2015.

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Gajić, B., Dragović, V. & Jovanović, B. On the Completeness of the Manakov Integrals. J Math Sci 223, 675–685 (2017). https://doi.org/10.1007/s10958-017-3377-5

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