{
  "id": "0808.2996",
  "version": "v2",
  "published": "2008-08-22T11:36:05.000Z",
  "updated": "2009-03-05T10:53:05.000Z",
  "title": "Moduli spaces for finite-order jets of Riemannian metrics",
  "authors": [
    "A. Gordillo",
    "J. Navarro",
    "J. B. Sancho"
  ],
  "comment": "25 pages, corrected typos, partially changed content with an appendix added",
  "journal": "Differential Geometry and its Applications, Volume 28, Issue 6, Dec 2010, pages 672-688",
  "doi": "10.1016/j.difgeo.2010.07.002",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We construct the moduli space of r-jets at a point of Riemannian metrics on a smooth manifold. The construction is closely related to the problem of classification of jet metrics via differential invariants. The moduli space is proved to be a differentiable space which admits a finite canonical stratification into smooth manifolds. A complete study on the stratification of moduli spaces is carried out for metrics in dimension n=2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-05T10:53:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58D27",
      "53A55"
    ],
    "keywords": [
      "moduli space",
      "riemannian metrics",
      "finite-order jets",
      "smooth manifold",
      "jet metrics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.2996G"
    }
  }
}