{
  "id": "1404.3360",
  "version": "v2",
  "published": "2014-04-13T09:25:19.000Z",
  "updated": "2016-08-27T07:13:39.000Z",
  "title": "On Conformal Vector Fields of a Class of Finsler Spaces I",
  "authors": [
    "Guojun Yang"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "An $(\\alpha,\\beta)$-metric is defined by a Riemannian metric $\\alpha$ and $1$-form $\\beta$. In this paper, we characterize conformal vector fields of $(\\alpha,\\beta)$-spaces by some PDEs. Further, we determine the local solutions of conformal vector fields of $(\\alpha,\\beta)$-spaces in dimension $n\\ge 3$ under certain curvature conditions. In addition, we use certain conformal vector field to give a new proof to a known result on the local and global classifications for Randers metrics which are locally projectively flat and of isotropic S-curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-13T09:25:19.000Z",
      "title": "On Conformal Vector Fields of a Class of Finsler Spaces",
      "comment": "16 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-08-27T07:13:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B40",
      "53C60"
    ],
    "keywords": [
      "finsler spaces",
      "characterize conformal vector fields",
      "curvature conditions",
      "isotropic s-curvature",
      "riemannian metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.3360Y"
    }
  }
}