{
  "id": "1006.2345",
  "version": "v2",
  "published": "2010-06-11T16:51:45.000Z",
  "updated": "2010-06-14T18:58:02.000Z",
  "title": "Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature",
  "authors": [
    "Rafael López",
    "Esma Demir"
  ],
  "comment": "19 pages, 1 figure",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this work we find all helicoidal surfaces in Minkowski space with constant mean curvature whose generating curve is a the graph of a polynomial or a Lorentzian circle. In the first case, we prove that the degree of the polynomial is $0$ or $1$ and that the surface is ruled. If the generating curve is a Lorentzian circle, we show that the only possibility is that the axis is spacelike and the center of the circle lies in the axis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-06-14T18:58:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10"
    ],
    "keywords": [
      "constant mean curvature",
      "constant gauss curvature",
      "minkowski space",
      "helicoidal surfaces",
      "lorentzian circle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.2345L"
    }
  }
}