most citedNonholonomic LR systems as Generalized Chaplygin systems with an Invariant Measure and Geodesic Flows on Homogeneous Spaces

84 citations · 89 across the 2 of their papers we have counts for

collaborators

2 papers

math-ph2003★ 5 cited

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…

math-ph2003★ 84 cited

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…