Non-commutative Integrability, Moment Map and Geodesic Flows
نویسندگان
چکیده
The 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 biinvariant metric on any bi-quotient of a compact Lie group is integrable in the non-commutative sense by means of polynomial integrals, and therefore, in the classical commutative sense by means of C∞–smooth integrals. MSC2000: 37J35, 37J15, 70H06, 70H33, 53D20, 53D25
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تاریخ انتشار 2008