Authors: Bolsinov, Alexey V.
Jovanović, Božidar 
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
DOI: 10.1142/9789812703088_0004
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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