2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95494This paper is a review of recent results on integrable nonholonomic geodesic flows of left--invariant metrics and left- and right--invariant constraint distributions on compact Lie groups.33 pages, 1 figureMathematical PhysicsDynamical SystemsExactly Solvable and Integrable Systems37J60, 37J35, 70H45Integrable nonholonomic geodesic flows on compact Lie groupstext