{
  "id": "1209.0845",
  "version": "v1",
  "published": "2012-09-05T01:57:40.000Z",
  "updated": "2012-09-05T01:57:40.000Z",
  "title": "Deformations and Hilbert's Fourth Problem",
  "authors": [
    "Changtao Yu"
  ],
  "comment": "26 pages, 1 figure",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "In this paper we study a class of Finsler metrics defined by a Riemannian metric and an 1-form. We classify those of projectively flat in dimension $n\\geq3$ by a special class of deformations. The results show that the projective flatness of such kind of Finsler metrics always arises from that of some Riemannian metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-05T01:57:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B40",
      "53C60"
    ],
    "keywords": [
      "hilberts fourth problem",
      "deformations",
      "riemannian metric",
      "special class",
      "finsler metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.0845Y"
    }
  }
}