On the Completeness of the Manakov Integrals
- Authors: Gajić B.1, Dragović V.1,2, Jovanović B.1
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Affiliations:
- Mathematical Institute SANU
- University of Texas at Dallas
- Issue: Vol 223, No 6 (2017)
- Pages: 675-685
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239421
- DOI: https://doi.org/10.1007/s10958-017-3377-5
- ID: 239421
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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(n1)×· · ·×SO(nr).
About the authors
B. Gajić
Mathematical Institute SANU
Author for correspondence.
Email: gajab@mi.sanu.ac.rs
Serbia, Kneza Mihaila 36, Belgrade, 11000
V. Dragović
Mathematical Institute SANU; University of Texas at Dallas
Email: gajab@mi.sanu.ac.rs
Serbia, Kneza Mihaila 36, Belgrade, 11000; 800 West Campbell Road, Richardson, TX, 75080-3021
B. Jovanović
Mathematical Institute SANU
Email: gajab@mi.sanu.ac.rs
Serbia, Kneza Mihaila 36, Belgrade, 11000
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