{
  "id": "1411.0874",
  "version": "v1",
  "published": "2014-11-04T12:19:49.000Z",
  "updated": "2014-11-04T12:19:49.000Z",
  "title": "Gronwall's conjecture for 3-webs with infinitesimal symmetries",
  "authors": [
    "Sergey I. Agafonov"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study non-flat planar 3-webs with infinitesimal symmetry. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification of linear non-flat symmetric 3-webs. Using this classification we show that the Gronwall conjecture is true for symmetric 3-webs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-04T12:19:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A60"
    ],
    "keywords": [
      "infinitesimal symmetry",
      "gronwalls conjecture",
      "study non-flat planar",
      "linear non-flat symmetric",
      "gronwall conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.0874A"
    }
  }
}