{
  "id": "0801.3211",
  "version": "v2",
  "published": "2008-01-21T14:39:30.000Z",
  "updated": "2008-02-04T16:55:49.000Z",
  "title": "Curvature invariants, Killing vector fields, connections and cohomogeneity",
  "authors": [
    "Sergio Console",
    "Carlos Olmos"
  ],
  "comment": "4 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "A direct, bundle-theoretic method for defining and extending local isometries out of curvature data is developed. As a by-product, conceptual direct proofs of a classical result of Singer and a recent result of the authors are derived.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-02-04T16:55:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C30",
      "53C21"
    ],
    "keywords": [
      "killing vector fields",
      "curvature invariants",
      "connections",
      "cohomogeneity",
      "conceptual direct proofs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.3211C"
    }
  }
}