84 citations · 545 across the 43 of their papers we have counts for
Showing 2003Show all
3 papers · 1 filter
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…
math-ph2003★ 16 cited
Some multidimensional integrable cases of nonholonomic rigid body dynamics
Bozidar Jovanovic
In this paper we study the dynamics of the constrained --dimensional rigid body (the Suslov problem). We give a review of known integrable cases in three dimensions and present…