{
  "id": "0712.0409",
  "version": "v1",
  "published": "2007-12-03T23:13:53.000Z",
  "updated": "2007-12-03T23:13:53.000Z",
  "title": "Structure theorems for embedded disks with mean curvature bounded in L^P",
  "authors": [
    "Giuseppe Tinaglia"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "After appropriate normalizations an embedded disk whose second fundamental form has large norm contains a multi-valued graph, provided the L^P norm of the mean curvature is sufficiently small. This generalizes to non-minimal surfaces a well known result of Colding and Minicozzi.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-03T23:13:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10"
    ],
    "keywords": [
      "mean curvature",
      "embedded disk",
      "structure theorems",
      "second fundamental form",
      "large norm contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0409T"
    }
  }
}