{
  "id": "1208.2838",
  "version": "v3",
  "published": "2012-08-14T11:57:39.000Z",
  "updated": "2013-01-14T15:56:08.000Z",
  "title": "Concircular $π$-Vector Fields and Special Finsler Spaces",
  "authors": [
    "Nabil L. Youssef",
    "A. Soleiman"
  ],
  "comment": "laTeX file, 18 pages, some typos corrected, some proofs added, concluding summary added at the end of the paper. arXiv admin note: text overlap with arXiv:0805.2599",
  "journal": "Adv. Pure Math., 3, 2 (2013), 282-291",
  "doi": "10.4236/apm.2013.32040",
  "categories": [
    "math.DG",
    "gr-qc"
  ],
  "abstract": "The aim of the present paper is to investigate intrinsically the notion of a concircular $\\pi$-vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the concept of a concurrent vector field in Finsler geometry. Some properties of concircular $\\pi$-vector fields are obtained. Different types of recurrence are discussed. The effect of the existence of a concircular $\\pi$-vector field on some important special Finsler spaces is investigated. The whole work is formulated in a coordinate-free form.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-01-14T15:56:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60",
      "53B40",
      "58B20"
    ],
    "keywords": [
      "important special finsler spaces",
      "finsler geometry",
      "concurrent vector field",
      "concircular vector field",
      "riemannian geometry"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1127493,
      "adsabs": "2012arXiv1208.2838Y"
    }
  }
}