{
  "id": "math/0608092",
  "version": "v1",
  "published": "2006-08-03T14:45:27.000Z",
  "updated": "2006-08-03T14:45:27.000Z",
  "title": "The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations",
  "authors": [
    "V. Barone Adesi",
    "F. Serra Cassano",
    "D. Vittone"
  ],
  "categories": [
    "math.CA",
    "math.MG"
  ],
  "abstract": "In this paper we deal with some problems concerning minimal hypersurfaces in Carnot-Caratheodory (CC) structures. More precisely we will introduce a general calibration method in this setting and we will study the Bernstein problem for entire regular intrinsic minimal graphs in a meaningful and simpler class of CC spaces, i.e. the Heisenberg group H^n. In particular we will positively answer to the Bernstein problem in the case n=1 and we will provide counterexamples when n>=5.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-03T14:45:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bernstein problem",
      "heisenberg group",
      "intrinsic graphs",
      "entire regular intrinsic minimal graphs",
      "general calibration method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8092B"
    }
  }
}