%0 Journal Article %T Zoll and Tannery metrics from a superintegrable geodesic flow %A Galliano Valent %J Physics %D 2014 %I arXiv %R 10.1007/s11005-014-0712-3 %X 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. %U http://arxiv.org/abs/1404.1793v1