{
  "id": "math-ph/0510092",
  "version": "v2",
  "published": "2005-10-28T15:14:19.000Z",
  "updated": "2005-11-19T02:45:16.000Z",
  "title": "Riemannian geometry of ${\\rm Diff}(S^1)/S^1$ and representations of the Virasoro algebra",
  "authors": [
    "M. Gordina",
    "P. Lescot"
  ],
  "categories": [
    "math-ph",
    "math.DG",
    "math.MP"
  ],
  "abstract": "The main result of the paper is a computation of the Ricci curvature of $\\DS/S^1$. Unlike earlier results on the subject, we do not use the K\\\"{a}hler structure symmetries to compute the Ricci curvature, but rather rely on classical finite-dimensional results of Nomizu et al on Riemannian geometry of homogeneous spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-11-19T02:45:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemannian geometry",
      "virasoro algebra",
      "representations",
      "ricci curvature",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph..10092G"
    }
  }
}