{
  "id": "1904.07031",
  "version": "v1",
  "published": "2019-04-15T13:25:23.000Z",
  "updated": "2019-04-15T13:25:23.000Z",
  "title": "Short survey on the existence of slices for the space of Riemannian metrics",
  "authors": [
    "Diego Corro",
    "Jan-Bernhard Kordaß"
  ],
  "comment": "19 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We review the well-known slice theorem of Ebin for the action of the diffeomorphism group on the space of Riemannian metrics of a closed manifold. We present advances in the study of the spaces of Riemannian metrics, and produce a more concise proof for the existence of slices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-15T13:25:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C10",
      "58D17"
    ],
    "keywords": [
      "riemannian metrics",
      "short survey",
      "well-known slice theorem",
      "concise proof",
      "diffeomorphism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}