{
  "id": "2101.05270",
  "version": "v1",
  "published": "2021-01-13T18:59:51.000Z",
  "updated": "2021-01-13T18:59:51.000Z",
  "title": "Superintegrable systems in non-Euclidean plane: hidden symmetries leading to linearity",
  "authors": [
    "G. Gubbiotti",
    "M. C. Nucci"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Nineteen classical superintegrable systems in two-dimensional non-Euclidean spaces are shown to possess hidden symmetries leading to their linearization. They are the two Perlick systems [A. Ballesteros, A. Enciso, F.J. Herranz and O. Ragnisco, Class. Quantum Grav. 25, 165005 (2008)], the Taub-NUT system [A. Ballesteros, A. Enciso, F.J. Herranz, O. Ragnisco, and D. Riglioni, SIGMA 7, 048 (2011)], and all the seventeen superintegrable systems for the four types of Darboux spaces as determined in [E.G. Kalnins, J.M. Kress, W. Miller, P. Winternitz, J. Math. Phys. 44, 5811--5848 (2003)].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-13T18:59:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "superintegrable systems",
      "non-euclidean plane",
      "two-dimensional non-euclidean spaces",
      "darboux spaces",
      "possess hidden symmetries leading"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}