{
  "id": "math/0410461",
  "version": "v1",
  "published": "2004-10-21T11:49:43.000Z",
  "updated": "2004-10-21T11:49:43.000Z",
  "title": "Natural connections given by general linear and classical connections",
  "authors": [
    "Josef Janyška"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We assume a vector bundle $p: E\\to M$ with a general linear connection $K$ and a classical linear connection $\\Lam$ on $M$. We prove that all classical linear connections on the total space $E$ naturally given by $(\\Lam, K)$ form a 15-parameter family. Further we prove that all connections on $J^1 E$ naturally given by $(\\Lam, K)$ form a 14-parameter family. Both families of connections are described geometrically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-21T11:49:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C05",
      "58A20",
      "58A32"
    ],
    "keywords": [
      "natural connections",
      "classical connections",
      "classical linear connection",
      "general linear connection",
      "vector bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10461J"
    }
  }
}