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arXiv · 1403.0422

Explicit metrics for a class of two-dimensional superintegrable systems

Galliano Valent·Christian Duval·Vsevolod Shevchishin
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Abstract

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 determine for which values of the parameters these systems are indeed globally defined on the two-sphere.

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Galliano Valent, Christian Duval, Vsevolod Shevchishin. 2014-08-21. Explicit metrics for a class of two-dimensional superintegrable systems. https://doi.org/10.1016/j.geomphys.2014.08.004

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