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 |
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| container_end_page | 685 |
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| container_issue | 6 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 223 |
| creator | Gajic, B Dragovic, V Jovanovic, B |
| description | 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
). |
| doi_str_mv | 10.1007/s10958-017-3377-5 |
| format | Article |
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SO(
n
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×· · ·×
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SO(
n
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×· · ·×
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/
SO(
n
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×· · ·×
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| fulltext | fulltext |
| identifier | ISSN: 1072-3374 |
| ispartof | Journal of mathematical sciences (New York, N.Y.), 2017-06, Vol.223 (6), p.675-685 |
| issn | 1072-3374 1573-8795 |
| language | eng |
| recordid | cdi_proquest_journals_1899080750 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Algebra Completeness Integrals Mathematics Mathematics and Statistics Rigid-body dynamics |
| title | On the Completeness of the Manakov Integrals |
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