{
  "id": "1005.3783",
  "version": "v3",
  "published": "2010-05-20T18:36:02.000Z",
  "updated": "2011-10-11T17:59:42.000Z",
  "title": "Curvature and bubble convergence of harmonic maps",
  "authors": [
    "Gerasim Kokarev"
  ],
  "comment": "re-worked into a shorter version, inaccuracies and misprints corrected, 17 pages; to appear in J. Geom. Anal",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We explore geometric aspects of bubble convergence for harmonic maps. More precisely, we show that the formation of bubbles is characterised by the local excess of curvature on the target manifold. We give a universal estimate for curvature concentration masses at each bubble point and show that there is no curvature loss in the necks. Our principal hypothesis is that the target manifold is Kaehler.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-10-11T17:59:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E20",
      "53C43"
    ],
    "keywords": [
      "harmonic maps",
      "bubble convergence",
      "target manifold",
      "curvature concentration masses",
      "local excess"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.3783K"
    }
  }
}