{
  "id": "1203.2462",
  "version": "v1",
  "published": "2012-03-12T12:03:12.000Z",
  "updated": "2012-03-12T12:03:12.000Z",
  "title": "Non-integrability of geodesic flow on certain algebraic surfaces",
  "authors": [
    "Thomas Waters"
  ],
  "comment": "Accepted in Physics Letters A",
  "categories": [
    "math.DS",
    "math.DG",
    "nlin.CD"
  ],
  "abstract": "This paper addresses an open problem recently posed by V. Kozlov: a rigorous proof of the non-integrability of the geodesic flow on the cubic surface $x y z=1$. We prove this is the case using the Morales-Ramis theorem and Kovacic algorithm. We also consider some consequences and extensions of this result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-12T12:03:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geodesic flow",
      "algebraic surfaces",
      "non-integrability",
      "paper addresses",
      "cubic surface"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physleta.2012.03.016",
      "journal": "Physics Letters A",
      "year": 2012,
      "month": "Mar",
      "volume": 376,
      "number": 17,
      "pages": 1442
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhLA..376.1442W"
    }
  }
}