{
  "id": "0909.3398",
  "version": "v1",
  "published": "2009-09-18T09:33:40.000Z",
  "updated": "2009-09-18T09:33:40.000Z",
  "title": "Differential invariants for cubic integrals of geodesic flows on surfaces",
  "authors": [
    "Vladimir S. Matveev",
    "Vsevolod V. Shevchishin"
  ],
  "comment": "36 pages, no pictures",
  "journal": "J. Geom. Phys. Volume 60(2010) no. 6-8, 833-856",
  "doi": "10.1016/j.geomphys.2010.02.002",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We construct differential invariants that vanish if and only if the geodesic flow of a 2-dimensional metric admits an integral of 3rd degree in momenta with a given Birkhoff-Kolokoltsov 3-codifferential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-18T09:33:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D25",
      "53B20",
      "53B21",
      "53B30",
      "53A55",
      "53A35",
      "37J15",
      "37J15",
      "37J15",
      "70H06",
      "70H33"
    ],
    "keywords": [
      "geodesic flow",
      "cubic integrals",
      "construct differential invariants",
      "metric admits",
      "3rd degree"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Geometry and Physics",
      "year": 2010,
      "month": "Jun",
      "volume": 60,
      "number": "6-8",
      "pages": 833
    },
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JGP....60..833M"
    }
  }
}