{
  "id": "1712.06328",
  "version": "v1",
  "published": "2017-12-18T10:42:17.000Z",
  "updated": "2017-12-18T10:42:17.000Z",
  "title": "Homogeneous Finsler space with infinite series $(α, β)$-metric",
  "authors": [
    "Gauree Shanker",
    "Kirandeep Kaur"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series $(\\alpha, \\beta)$-metric. Next, we deduce an explicit formula for the the $S$-curvature of homogeneous Finsler space with infinite series $(\\alpha, \\beta)$-metric. Using this formula, we further derive the formula for mean Berwald curvature of the homogeneous Finsler space with this metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-18T10:42:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C30",
      "53C60",
      "22E60"
    ],
    "keywords": [
      "homogeneous finsler space",
      "infinite series",
      "mean berwald curvature",
      "invariant vector field",
      "explicit formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}