{
  "id": "0912.5036",
  "version": "v1",
  "published": "2009-12-26T19:27:59.000Z",
  "updated": "2009-12-26T19:27:59.000Z",
  "title": "Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold",
  "authors": [
    "Guillermo Henry",
    "Guillermo Keilhauer"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-26T19:27:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "53B21",
      "53A55"
    ],
    "keywords": [
      "tangent bundle",
      "riemannian base manifold",
      "relationships",
      "curvature tensor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.5036H"
    }
  }
}