{
  "id": "math/0209065",
  "version": "v2",
  "published": "2002-09-06T13:08:57.000Z",
  "updated": "2005-05-13T13:33:57.000Z",
  "title": "The Bernstein Problem in the Heisenberg Group",
  "authors": [
    "Nicola Garofalo",
    "Scott D. Pauls"
  ],
  "comment": "62 pages, 9 figures. The first version of this paper contained a serious error. The current version is a complete reworking of the techniques and results",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We establish the following theorem of Bernstein type for the first Heisenberg group: Let S be a C^2 connected H-minimal surface which is a graph over some plane P, then S is either a non-characteristic vertical plane, or its generalized seed curve satisfies a type of constant curvature condition.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-05-13T13:33:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C17",
      "53A10",
      "49Q20",
      "35J70"
    ],
    "keywords": [
      "bernstein problem",
      "first heisenberg group",
      "constant curvature condition",
      "connected h-minimal surface",
      "bernstein type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 62,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9065G"
    }
  }
}