{
  "id": "1712.08333",
  "version": "v1",
  "published": "2017-12-22T07:57:11.000Z",
  "updated": "2017-12-22T07:57:11.000Z",
  "title": "Projective changes between two Finsler spaces with $(α, β )$-metrics",
  "authors": [
    "Gauree Shanker",
    "Sruthy Asha Baby"
  ],
  "comment": "16 pages, no figure",
  "categories": [
    "math.DG"
  ],
  "abstract": "In the present paper, we find the conditions to characterize projective change between two $(\\alpha, \\beta)$-metrics, F = $\\alpha + \\epsilon \\beta + k\\frac{\\beta^2}{\\alpha}$ ($\\epsilon$ and k $\\neq$ 0 are constants) and a Matsumoto metric $\\bar{F}=\\frac{\\bar{\\alpha}^2}{\\bar{\\alpha} -\\bar{\\beta}}$ on a manifold with dimension $n \\geq 3$ where $\\alpha$ and $\\bar{\\alpha}$ are two Riemannian metrics, $\\beta$ and $\\bar{\\beta}$ are two non-zero 1-forms. Moreover, we study such projective changes when F has some special curvature properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-22T07:57:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B40",
      "53C60"
    ],
    "keywords": [
      "finsler spaces",
      "special curvature properties",
      "riemannian metrics",
      "matsumoto metric",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}