{
  "id": "math/0703542",
  "version": "v1",
  "published": "2007-03-19T07:50:18.000Z",
  "updated": "2007-03-19T07:50:18.000Z",
  "title": "Meromorphic differentials with twisted coefficients on compact Riemann surfaces",
  "authors": [
    "Yi-Hu Yang"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "This note is to concern a generalization to the case of twisted coefficients of the classical theory of Abelian differentials on a compact Riemann surface. We apply the Dirichlet's principle to a modified energy functional to show the existence of differentials with twisted coefficients of the second and third kinds under a suitable assumption on residues.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-19T07:50:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07"
    ],
    "keywords": [
      "compact riemann surface",
      "twisted coefficients",
      "meromorphic differentials",
      "modified energy functional",
      "abelian differentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3542Y"
    }
  }
}