Noncommutative integrability, moment map and geodesic flowsстатья
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Дата последнего поиска статьи во внешних источниках: 26 сентября 2016 г.
Аннотация:The purpose of this paper is to discuss the relationship betweencommutative and noncommutative integrability of Hamiltonian systemsand to construct new examples of integrable geodesic flows onRiemannian manifolds. In particular, we prove that the geodesic flowof the bi-invariant metric on any bi-quotient of a compact Lie group isintegrable in the noncommutative sense by means of polynomial integrals, andtherefore, in the classical commutative sense by means of C^∞-smooth integrals.