Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions
Mathematical Physics
2007-05-23 v1 Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
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 problems.
Cite
@article{arxiv.math-ph/0307015,
title = {Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions},
author = {Alexey V. Bolsinov and Bozidar Jovanovic},
journal= {arXiv preprint arXiv:math-ph/0307015},
year = {2007}
}
Comments
37 pages