{
  "id": "1601.04951",
  "version": "v1",
  "published": "2016-01-19T15:29:02.000Z",
  "updated": "2016-01-19T15:29:02.000Z",
  "title": "On the use of connections in the calculus of variations in Finsler geometry",
  "authors": [
    "Henrique Vitório"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We propose a unified approach to the theory of connections in the geometry of sprays and Finsler metrics which, in particular, gives a simple explanation of the well-known fact that all the classical Finslerian connections provide exactly the same formulas appearing in the calculus of variations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-19T15:29:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60",
      "53C22"
    ],
    "keywords": [
      "finsler geometry",
      "variations",
      "simple explanation",
      "well-known fact",
      "classical finslerian connections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160104951V"
    }
  }
}