{
  "id": "1706.06079",
  "version": "v1",
  "published": "2017-06-19T17:46:14.000Z",
  "updated": "2017-06-19T17:46:14.000Z",
  "title": "On Horizontal Recurrent Finsler Connections",
  "authors": [
    "Nabil L. Youssef",
    "A. Soleiman"
  ],
  "comment": "9 peges, LaTeX file",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we adopt the pullback approach to global Finsler geometry. We investigate horizontally recurrent Finsler connections. We prove that for each scalar ($\\pi$)1-form $A$, there exists a unique horizontally recurrent Finsler connection whose $h$-recurrence form is $A$. This result generalizes the existence and uniqueness theorem of Cartan connection. We then study some properties of a special kind of horizontally recurrent Finsler connection, which we call special HRF-connection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-19T17:46:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B40",
      "53C60"
    ],
    "keywords": [
      "horizontal recurrent finsler connections",
      "unique horizontally recurrent finsler connection",
      "global finsler geometry",
      "special hrf-connection",
      "pullback approach"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}