{
  "id": "1809.08710",
  "version": "v1",
  "published": "2018-09-24T01:00:04.000Z",
  "updated": "2018-09-24T01:00:04.000Z",
  "title": "The continuity equation, Hermitian metrics and elliptic bundles",
  "authors": [
    "Morgan Sherman",
    "Ben Weinkove"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We extend the continuity equation of La Nave-Tian to Hermitian metrics and establish its interval of maximal existence. The equation is closely related to the Chern-Ricci flow, and we illustrate this in the case of elliptic bundles over a curve of genus at least two.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-24T01:00:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hermitian metrics",
      "elliptic bundles",
      "continuity equation",
      "maximal existence",
      "chern-ricci flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}