{
  "id": "0908.1307",
  "version": "v3",
  "published": "2009-08-10T12:17:14.000Z",
  "updated": "2010-01-18T02:22:19.000Z",
  "title": "Value distribution of the hyperbolic Gauss maps for flat fronts in hyperbolic three-space",
  "authors": [
    "Yu Kawakami"
  ],
  "comment": "14 pages, to appear in Houston Journal of Mathematics",
  "journal": "Houston J. Math., 38 (2012), 115-130",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "We give an effective estimate for the totally ramified value number of the hyperbolic Gauss maps of complete flat fronts in the hyperbolic three-space. As a corollary, we give the upper bound of the number of exceptional values of them for some topological cases. Moreover, we obtain some new examples for this class.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-01-18T02:22:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "30D35",
      "53A35",
      "53C42"
    ],
    "keywords": [
      "hyperbolic gauss maps",
      "hyperbolic three-space",
      "value distribution",
      "complete flat fronts",
      "upper bound"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.1307K"
    }
  }
}