{
  "id": "1908.01967",
  "version": "v1",
  "published": "2019-08-06T05:57:13.000Z",
  "updated": "2019-08-06T05:57:13.000Z",
  "title": "Isometric deformations of mixed type surfaces in Lorentz-Minkowski space",
  "authors": [
    "Atsufumi Honda"
  ],
  "comment": "33 pages, 12 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "A connected regular surface in Lorentz-Minkowski 3-space is called a mixed type surface if the spacelike, timelike and lightlike point sets are all non-empty. Lightlike points on mixed type surfaces may be regarded as singular points of the induced metrics. In this paper, we introduce the L-Gauss map around non-degenerate lightlike points, and show the fundamental theorem of surface theory for mixed type surfaces at non-degenerate lightlike points. As an application, we prove that a real analytic mixed type surface admits non-trivial isometric deformations around generic lightlike points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-06T05:57:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B30",
      "57R45",
      "53A35",
      "35M10"
    ],
    "keywords": [
      "lightlike point",
      "lorentz-minkowski space",
      "admits non-trivial isometric deformations",
      "analytic mixed type surface",
      "mixed type surface admits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}