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Physics  2014 

Zoll and Tannery metrics from a superintegrable geodesic flow

DOI: 10.1007/s11005-014-0712-3

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Abstract:

We prove that for Matveev and Shevchishin superintegrable system, with a linear and a cubic integral, the metrics defined on S^2 and on Tannery's orbifold T^2 are either Zoll or Tannery metrics.

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