{
  "id": "0810.1464",
  "version": "v1",
  "published": "2008-10-08T15:44:54.000Z",
  "updated": "2008-10-08T15:44:54.000Z",
  "title": "On slant helices in Minkowski space $E_1^3$",
  "authors": [
    "Ahmad T. Ali",
    "Rafael López"
  ],
  "comment": "7 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider a curve $\\alpha=\\alpha(s)$ in Minkowski 3-space $E_1^3$ and denote by $\\{T,N,B}$ the Frenet frame of $\\alpha$. We say that $\\alpha$ is a slant helix if there exists a fixed direction $U$ of $E_1^3$ such that the function $<N(s),U>$ is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of $\\alpha$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-08T15:44:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C50"
    ],
    "keywords": [
      "slant helices",
      "minkowski space",
      "slant helix",
      "frenet frame",
      "fixed direction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1464A"
    }
  }
}