{
  "id": "2004.06335",
  "version": "v1",
  "published": "2020-04-14T07:37:26.000Z",
  "updated": "2020-04-14T07:37:26.000Z",
  "title": "The Continuity Equation of the Gauduchon Metrics",
  "authors": [
    "Tao Zheng"
  ],
  "comment": "15pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the K\\\"ahler metrics introduced by La Nave \\& Tian for and of the Hermitian metrics introduced by Sherman \\& Weinkove. Our method is based on the solution to the Gauduchon conjecture by Sz\\'ekelyhidi, Tosatti \\& Weinkove.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-14T07:37:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "35J60",
      "32W20",
      "58J05"
    ],
    "keywords": [
      "continuity equation",
      "gauduchon metrics",
      "maximal existence",
      "hermitian metrics",
      "gauduchon conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}