{
  "id": "1608.07667",
  "version": "v1",
  "published": "2016-08-27T07:10:31.000Z",
  "updated": "2016-08-27T07:10:31.000Z",
  "title": "Conformal Vector Fields of a Class of Finsler Spaces II",
  "authors": [
    "Guojun Yang"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we first give two fundamental principles under a technique to characterize conformal vector fields of $(\\alpha,\\beta)$ spaces to be homothetic and determine the local structure of those homothetic fields. Then we use the principles to study conformal vector fields of some classes of $(\\alpha,\\beta)$ spaces under certain curvature conditions. Besides, we construct a family of non-homothetic conformal vector fields on a family of locally projectively Randers spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-27T07:10:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B40"
    ],
    "keywords": [
      "finsler spaces",
      "non-homothetic conformal vector fields",
      "study conformal vector fields",
      "characterize conformal vector fields",
      "locally projectively randers spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}