Non-commutative Integrability, Moment Map and Geodesic Flows

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dc.creatorBolsinov, Alexey V.
dc.creatorJovanovic, Bozidar
dc.date2001-09-27
dc.date2002-05-29
dc.date.accessioned2026-07-07T04:28:40Z
dc.date.available2026-07-07T04:28:40Z
dc.descriptionThe purpose of this paper is to discuss the relationship between commutative and non-commutative integrability of Hamiltonian systems and to construct new examples of integrable geodesic flows on Riemannian manifolds. In particular, we prove that the geodesic flow of the bi-invariant metric on any bi-quotient of a compact Lie group is integrable in non-commutative sense by means of polynomial integrals, and therefore, in classical commutative sense by means of $C^\infty$--smooth integrals.
dc.description19 pages, minor changes, to appear in Annals of Global Analysis and Geometry
dc.identifierhttps://arxiv.org/abs/math-ph/0109031
dc.identifierhttp://arxiv.org/abs/math-ph/0109031
dc.identifierAnnals of Global Analysis and Geometry, 23 (4): 305-322, 2003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56873
dc.subjectMathematical Physics
dc.subject37J35, 37J15, 70H06, 70H33, 53D20, 53D25
dc.titleNon-commutative Integrability, Moment Map and Geodesic Flows
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