{
  "id": "2112.06601",
  "version": "v3",
  "published": "2021-12-13T12:36:10.000Z",
  "updated": "2023-06-01T07:33:09.000Z",
  "title": "New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation",
  "authors": [
    "Giannis Polychrou",
    "Effie Papageorgiou",
    "Anestis Fotiadis",
    "Costas Daskaloyannis"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In \\cite{FotDask}, harmonic maps are related to the sinh-Gordon equation and a B{\\\"a}cklund transformation is introduced, which connects solutions of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order to construct new harmonic maps to the hyperbolic plane.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2023-06-01T07:33:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A30",
      "58J70",
      "58J72"
    ],
    "keywords": [
      "hyperbolic plane",
      "bäcklund transformation",
      "study harmonic maps",
      "sine-gordon equation",
      "connects solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}