{
  "id": "math/0602536",
  "version": "v1",
  "published": "2006-02-23T20:56:45.000Z",
  "updated": "2006-02-23T20:56:45.000Z",
  "title": "On the problem of linearizability of a 3-web",
  "authors": [
    "Zoltan Muzsnay"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we study the linearizability problem for 3-webs on a 2-dimensional manifold. With an explicit computation based on the theory developed in the paper \"On the linearizability of 3-webs\" (Nonlinear analysis 47, (2001) pp. 2643-2654), we examine a 3-web whose linearizability was claimed in the same paper. We show that, contrary to the statement of the papers \"On the Blaschke conjecture for 3-webs\" (arXiv: math.DG/0411460) and \"On linearization of planar three-webs and Blaschke's conjecture\", (C.R.Acad. Sci. Paris, Ser. I. vol. 341. num 3 (2005)), this particular web is linearizable. We compute explicitly the affine deformation tensor and the corresponding flat linear connection adapted to the web which linearizes it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-23T20:56:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A60",
      "53C36"
    ],
    "keywords": [
      "affine deformation tensor",
      "blaschkes conjecture",
      "planar three-webs",
      "corresponding flat linear connection",
      "blaschke conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2536M"
    }
  }
}