{
  "id": "0803.3575",
  "version": "v1",
  "published": "2008-03-25T15:16:56.000Z",
  "updated": "2008-03-25T15:16:56.000Z",
  "title": "Harmonic maps from degenerating Riemann surfaces",
  "authors": [
    "Miaomiao Zhu"
  ],
  "comment": "27 pages",
  "journal": "Math. Z. 264 (2010), no. 1, 63-85",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We study harmonic maps from degenerating Riemann surfaces with uniformly bounded energy and show the so-called generalized energy identity. We find conditions that are both necessary and sufficient for the compactness in $W^{1,2}$ and $C^{0}$ modulo bubbles of sequences of such maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-25T15:16:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E20"
    ],
    "keywords": [
      "degenerating riemann surfaces",
      "study harmonic maps",
      "generalized energy identity",
      "modulo bubbles",
      "uniformly bounded energy"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3575Z"
    }
  }
}