{
  "id": "1803.00856",
  "version": "v1",
  "published": "2018-03-02T14:13:30.000Z",
  "updated": "2018-03-02T14:13:30.000Z",
  "title": "Embedded loops in the hyperbolic plane with prescribed, almost constant curvature",
  "authors": [
    "Roberta Musina",
    "Fabio Zuddas"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Given a constant $k>1$ and a real valued function $K$ on the hyperbolic plane $\\mathbb H^2$, we study the problem of finding, for any $\\epsilon\\approx 0$, a closed and embedded curve $u^\\epsilon $ in $\\mathbb H^2$ having geodesic curvature $k+\\epsilon K(u^\\epsilon)$ at each point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-02T14:13:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic plane",
      "constant curvature",
      "embedded loops",
      "geodesic curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}