{
  "id": "0812.3166",
  "version": "v1",
  "published": "2008-12-16T22:18:55.000Z",
  "updated": "2008-12-16T22:18:55.000Z",
  "title": "On the Geometry of the Second Fundamental Form of Translation Surfaces in E3",
  "authors": [
    "Marian Ioan Munteanu",
    "Ana Irina Nistor"
  ],
  "comment": "15 pages, 6 figures",
  "journal": "Houston J. Mathematics, 37 (2011) 4, 1087-1102",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we study the second fundamental form of translation surfaces in E3. We give a non-existence result for polynomial translation surfaces in E3 with vanishing second Gaussian curvature KII. We classify those translation surfaces for which KII and H are proportional. Finally we obtain that there are no II-minimal translation surfaces in the Euclidean 3-space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-16T22:18:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A05",
      "53A10",
      "49Q05"
    ],
    "keywords": [
      "second fundamental form",
      "vanishing second gaussian curvature kii",
      "polynomial translation surfaces",
      "ii-minimal translation surfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.3166I"
    }
  }
}