{
  "id": "2106.16141",
  "version": "v1",
  "published": "2021-06-30T15:46:38.000Z",
  "updated": "2021-06-30T15:46:38.000Z",
  "title": "Leafwise flat forms on Inoue-Bombieri surfaces",
  "authors": [
    "Daniele Angella",
    "Valentino Tosatti"
  ],
  "comment": "24 pages. Comments are welcome",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "We prove that every Gauduchon metric on an Inoue-Bombieri surface admits a strongly leafwise flat form in its $\\partial\\overline\\partial$-class. Using this result, we deduce uniform convergence of the normalized Chern-Ricci flow starting at any Gauduchon metric on all Inoue-Bombieri surfaces. We also show that the convergence is smooth with bounded curvature for initial metrics in the $\\partial\\overline\\partial$-class of the Tricerri/Vaisman metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-30T15:46:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauduchon metric",
      "inoue-bombieri surface admits",
      "deduce uniform convergence",
      "strongly leafwise flat form",
      "tricerri/vaisman metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}