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On superintegrable systems closed to geodesic motion

A. V. Tsiganov
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Abstract

In this work we consider superintegrable systems in the classical $r$-matrix method. By using other authomorphisms of the loop algebras we construct new superintegrable systems with rational potentials from geodesic motion on $R^{2n}$.

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A. V. Tsiganov. 1997-05-06. On superintegrable systems closed to geodesic motion. https://arxiv.org/abs/solv-int/9705004

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