Explicit metrics for a class of two-dimensional superintegrable systems
classification
🧮 math-ph
math.MPnlin.SI
keywords
systemsexplicittwo-dimensionalclasscoordinatescubicdefineddetermine
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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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