{
  "id": "2003.10635",
  "version": "v1",
  "published": "2020-03-24T03:20:54.000Z",
  "updated": "2020-03-24T03:20:54.000Z",
  "title": "Geometric properties near singular points of surfaces given by certain representation formulae",
  "authors": [
    "Yoshiki Matsushita",
    "Takuya Nakashima",
    "Keisuke Teramoto"
  ],
  "comment": "18 pages, 3 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We investigate geometric properties of surfaces given by certain formulae. In particular, we calculate the singular curvature and the limiting normal curvature of such surfaces along the set of singular points consisting of singular points of the first kind. Moreover, we study fold singular points of smooth maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-24T03:20:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A05",
      "53A55",
      "57R45"
    ],
    "keywords": [
      "geometric properties",
      "representation formulae",
      "study fold singular points",
      "limiting normal curvature",
      "singular curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}