{
  "id": "math/0504047",
  "version": "v1",
  "published": "2005-04-04T02:20:37.000Z",
  "updated": "2005-04-04T02:20:37.000Z",
  "title": "Equivariant deformations of LeBrun's self-dual metrics with torus action",
  "authors": [
    "Nobuhiro Honda"
  ],
  "comment": "10pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We investigate U(1)-equivariant deformations of C. LeBrun's self-dual metric with torus action. We explicitly determine all U(1)-subgroups of the torus for which one can obtain U(1)-equivariant deformation that do not preserve semi-free U(1)-action. This gives many new self-dual metrics with U(1)-action which are not conformally isometric to LeBrun metric. We also count the dimension of the moduli space of self-dual metrics with U(1)-action obtained in this way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-04T02:20:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25"
    ],
    "keywords": [
      "lebruns self-dual metric",
      "torus action",
      "equivariant deformations",
      "preserve semi-free",
      "lebrun metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4047H"
    }
  }
}