|Authors:||Bolsinov, Alexey V.
|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions||Journal:||Contemporary Geometry and Related Topics : Proceedings of the Workshop, Belgrade, Yugoslavia, 15 – 21 May 2002||Conference:||Contemporary Geometry and Related Topics||Issue Date:||2004||Rank:||M30||ISBN:||978-981-238-432-4
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.
|Keywords:||geodesic flows | topological entropy | homogeneous spaces | Hamiltonian action of a Lie group | (non-commutative) integrability||Publisher:||World Scientific||Project:||Russian Foundfor Basic Research (grants 02-01-00998 and 00-15-99272)
Geometry and Topology of Manifolds and Integrable Dynamical Systems
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