Zoll and Tannery metrics from a superintegrable geodesic flow
  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. 
Galliano Valent
math-ph math.DG math.MP nlin.SI