313 citations · 679 across the 35 of their papers we have counts for
Showing 2014 · math-phShow all
2 papers · 2 filters
math-ph2014★ 5 cited
Zoll and Tannery metrics from a superintegrable geodesic flow
Galliano Valent
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 Ta…
math-ph2014★ 17 cited
Explicit metrics for a class of two-dimensional superintegrable systems
Galliano Valent, Christian Duval, Vsevolod Shevchishin
We obtain, in local coordinates, the explicit form of the two-dimensional, super-integrable systems of Matveev and Shevchishin involving cubic integrals. This enables us to determi…