{
  "id": "math/0503236",
  "version": "v4",
  "published": "2005-03-13T06:27:33.000Z",
  "updated": "2006-12-09T01:30:50.000Z",
  "title": "The geometry of fronts",
  "authors": [
    "Kentaro Saji",
    "Masaaki Umehara",
    "Kotaro Yamada"
  ],
  "comment": "30 pages with 6 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We shall introduce the singular curvature function on cuspidal edges of surfaces, which is related to the Gauss-Bonnet formula and which characterizes the shape of cuspidal edges. Moreover, it is closely related to the behavior of the Gaussian curvature of a surface near cuspidal edges and swallowtails.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-12-09T01:30:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R45",
      "53A05"
    ],
    "keywords": [
      "cuspidal edges",
      "singular curvature function",
      "gauss-bonnet formula",
      "gaussian curvature",
      "swallowtails"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3236S"
    }
  }
}