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Two-dimensional superintegrable metrics with one linear and one cubic integral |
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| Authors: | Vladimir S. Matveev Vsevolod V. Shevchishin |
| Affiliation: | 1. Mathematisches Institut, Friedrich-Schiller-Universität Jena, 07737 Jena, Germany;2. Universität Hamburg, Department Mathematik, Bundesstr. 55, 20146 Hamburg, Germany |
| Abstract: | We describe all local Riemannian metrics on surfaces whose geodesic flows are superintegrable with one integral linear in momenta and one integral cubic in momenta. |
| Keywords: | 53D25 53B20 53B21 53B30 53A55 53A35 37J15 70H06 70H33 |
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