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Regular version of the site

Article

Explicit metrics for a class of two-dimensional superintegrable systems

Journal of Geometry and Physics. 2015. Vol. 87. P. 461-481.
Duval C., Shevchishin V., Valent G.

We obtain, in local coordinates, the explicit form of the two-dimensional, superintegrable
systems of Matveev and Shevchishin involving linear and cubic integrals. This enables us
to determine for which values of the parameters these systems are indeed globally defined
on S^2.