On the completeness of the Manakov integrals

Vladimir Dragovic; Borislav Gajic; Bozidar Jovanovic

On the completeness of the Manakov integrals

Exactly Solvable and Integrable Systems 2015-05-04 v2 Mathematical Physics Differential Geometry math.MP

Authors: Vladimir Dragovic , Borislav Gajic , Bozidar Jovanovic

Abstract

The aim of this note is to present simple proofs of the completeness of Manakov's 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 $SO(n)/SO(n_1)\times\dots\times SO(n_r)$ .

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@article{arxiv.1504.07221,
  title  = {On the completeness of the Manakov integrals},
  author = {Vladimir Dragovic and Borislav Gajic and Bozidar Jovanovic},
  journal= {arXiv preprint arXiv:1504.07221},
  year   = {2015}
}

Comments

11 pages, 1 figure, an extended version of the note will appear in: Fundamentalnaya i Prikladnaya Matematika (in Russian); Journal of Mathematical Sciences (in English)

On the completeness of the Manakov integrals

Abstract

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