| 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: | 978-981-238-432-4 978-981-270-308-8 |
DOI: | 10.1142/9789812703088_0004 | 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. |
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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