{
  "id": "math/0205304",
  "version": "v1",
  "published": "2002-05-28T22:19:55.000Z",
  "updated": "2002-05-28T22:19:55.000Z",
  "title": "Properness of minimal surfaces with bounded curvature",
  "authors": [
    "G. Pacelli Bessa",
    "Luquesio P. Jorge"
  ],
  "comment": "Short paper, (4 pages), writen in ams-latex",
  "journal": "An. Acad. Bras. Cienc., Sept 2003, vol.75, no.3, p.279-284.",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "We show that immersed minimal surfaces of $\\mathbb{R}^{3}$ with bounded curvature and proper self intersections are proper. We also show that the restriction of the immersing map to a wide component is always proper. When the immersing map is injective the whole surface is a wide component. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-05-28T22:19:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53C21"
    ],
    "keywords": [
      "bounded curvature",
      "properness",
      "wide component",
      "proper self intersections",
      "immersing map"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5304P"
    }
  }
}