{
  "id": "2101.07962",
  "version": "v1",
  "published": "2021-01-20T04:41:12.000Z",
  "updated": "2021-01-20T04:41:12.000Z",
  "title": "Criteria for sharksfin and deltoid singularities from the plane into the plane and their applications",
  "authors": [
    "Yutaro Kabata",
    "Kentaro Saji"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give criteria for sharksfin and deltoid singularities from the plane into the plane. We also give geometric meanings for the conditions in the criterion of a sharksfin. As applications, we investigate such singularities appearing on an orthogonal projection of a Whitney umbrella, and a sharksfin appearing on planar motions with 2-degrees of freedom.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-20T04:41:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R45",
      "58K05"
    ],
    "keywords": [
      "deltoid singularities",
      "applications",
      "geometric meanings",
      "orthogonal projection",
      "whitney umbrella"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}