84 citations · 98 across the 3 of their papers we have counts for
Showing 2003 · math-phShow all
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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…