On the Completeness of the Manakov Integrals

On the Completeness of the Manakov Integrals

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

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-06, Vol.223 (6), p.675-685
Hauptverfasser: Gajic, B, Dragovic, V, Jovanovic, B
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Completeness
Integrals
Mathematics
Mathematics and Statistics
Rigid-body dynamics
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Zusammenfassung: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 ℝ n , as well as for geodesic flows on a class of homogeneous spaces SO( n ) / SO( n 1 ) ×· · ·× SO( n r ).
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3377-5