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arxiv: math-ph/0307015 · v1 · submitted 2003-07-08 · 🧮 math-ph · math.DS· math.MP· nlin.SI

Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions

classification 🧮 math-ph math.DSmath.MPnlin.SI
keywords flowsgeodesicintegrablemanifoldsobstructionsriemannianclassicalconstruction
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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.

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