{
  "id": "2003.10645",
  "version": "v1",
  "published": "2020-03-24T03:50:00.000Z",
  "updated": "2020-03-24T03:50:00.000Z",
  "title": "On Gaussian curvatures and singularities of Gauss maps of cuspidal edges",
  "authors": [
    "Keisuke Teramoto"
  ],
  "comment": "12 pages, 14 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show relation between sign of Gaussian curvature of cuspidal edge and geometric invariants through types of singularities of Gauss map. Moreover, we define and characterize positivity/negativity of cusps of Gauss maps by geometric invariants of cuspidal edges, and show relation between sign of cusps and of the Gaussian curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-24T03:50:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R45",
      "53A05",
      "53A55"
    ],
    "keywords": [
      "cuspidal edge",
      "gauss map",
      "gaussian curvature",
      "singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}