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arxiv: math/0407245 · v1 · pith:QIB6K3GAnew · submitted 2004-07-14 · 🧮 math.DG · math.DS· math.GT· math.SG

Closed manifolds admitting metrics with the same geodesics

classification 🧮 math.DG math.DSmath.GTmath.SG
keywords admittinggeodesicsmanifoldsmetricsresultssamecloseddifferent
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The goal of this survey is to give a list of resent results about topology of manifolds admitting different metrics with the same geodesics. We emphasize the role of the theory of integrable systems in obtaining these results.

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