{
  "id": "math/0206305",
  "version": "v3",
  "published": "2002-06-28T08:46:08.000Z",
  "updated": "2004-05-14T08:40:48.000Z",
  "title": "Central symmetries of periodic billiard orbits in right triangles",
  "authors": [
    "S. Troubetzkoy"
  ],
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper had a serious error. In fixing the error the emphasis of the paper has changed completely, thus meriting a new name: ``Periodic orbits in right triangles''. I have made a new submission to arXiv with this name.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-05-14T08:40:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic billiard orbits",
      "right triangles",
      "central symmetries",
      "periodic orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6305T"
    }
  }
}