84 citations · 98 across the 3 of their papers we have counts for
5 papers
Integrable nonholonomic geodesic flows on compact Lie groups
Yuri N. Fedorov, Bozidar Jovanovic
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…
Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions
Alexey V. Bolsinov, Bozidar Jovanovic
This paper is a review of recent and classical results on integrable geodesic flows on Riemannian manifolds and topological obstructions to integrability. We also discuss some open…
Nonholonomic LR systems as Generalized Chaplygin systems with an Invariant Measure and Geodesic Flows on Homogeneous Spaces
Yuri N. Fedorov, Bozidar Jovanovic
We consider a class of dynamical systems on a Lie group with a left-invariant metric and right-invariant nonholonomic constraints (so called LR systems) and show that, under a…
On the integrability of geodesic flows of submersion metrics
Bozidar Jovanovic
Suppose we are given a compact Riemannian manifold (Q,g)with completely integrable geodesic flow. Let G be a compact connected Lie group acting freely on Q by isometries. The natur…
Non-commutative Integrability, Moment Map and Geodesic Flows
Alexey V. Bolsinov, Bozidar Jovanovic
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 ge…