{
  "id": "0901.3324",
  "version": "v1",
  "published": "2009-01-21T17:42:34.000Z",
  "updated": "2009-01-21T17:42:34.000Z",
  "title": "Slant helices in Euclidean 4-space $E^4$",
  "authors": [
    "Ahmad T. Ali",
    "Rafael López"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider a unit speed curve $\\alpha$ in Euclidean four-dimensional space $E^4$ and denote the Frenet frame by $\\{T,N,B_1,B_2\\}$. We say that $\\alpha$ is a slant helix if its principal normal vector $N$ makes a constant angle with a fixed direction $U$. In this work we give different characterizations of such curves in terms of their curvatures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-21T17:42:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C50"
    ],
    "keywords": [
      "slant helices",
      "euclidean four-dimensional space",
      "principal normal vector",
      "slant helix",
      "constant angle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}