{
  "id": "0810.1460",
  "version": "v1",
  "published": "2008-10-08T15:40:01.000Z",
  "updated": "2008-10-08T15:40:01.000Z",
  "title": "Timelike $B_2$-slant helices in Minkowski space $E_1^4$",
  "authors": [
    "Ahmad T. Ali",
    "Rafael López"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider a unit speed timelike curve $\\alpha$ in Minkowski 4-space $E_1^4$ and denote the Frenet frame of $\\alpha$ by $\\{T,N,B_1,B_2\\}$. We say that $\\alpha$ is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction $U$ of $E_1^4$. In this work we study those helices where the function $<B_2,U>$ is constant and we give different characterizations of such curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-08T15:40:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C50",
      "53B30"
    ],
    "keywords": [
      "minkowski space",
      "slant helices",
      "frenet frame",
      "unit vector fields",
      "constant scalar product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1460A"
    }
  }
}