{
  "id": "1201.6524",
  "version": "v1",
  "published": "2012-01-31T12:46:43.000Z",
  "updated": "2012-01-31T12:46:43.000Z",
  "title": "Some Characterizations of Euler Spirals in E_1^{3}",
  "authors": [
    "Yusuf Yayli",
    "Semra Saracoglu"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this study, some characterizations of Euler spirals in E_1^{3} have been presented by using their main property that their curvatures are linear. Moreover, discussing some properties of Bertrand curves and helices, the relationship between these special curves in E_1^{3} have been investigated with different theorems and examples. The approach we used in this paper is useful in understanding the role of Euler spirals in E_1^{3} in differential geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-31T12:46:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A04",
      "53A05",
      "53B30"
    ],
    "keywords": [
      "euler spirals",
      "characterizations",
      "differential geometry",
      "special curves",
      "main property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.6524Y"
    }
  }
}