Integrable nonholonomic geodesic flows on compact Lie groups

Abstract

This 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 figure

References in corpus (3)

• Nonholonomic LR systems as Generalized Chaplygin systems with an Invariant Measure and Geodesic Flows on Homogeneous Spaces
• Torus Actions and Integrable Systems
• Some multidimensional integrable cases of nonholonomic rigid body dynamics