{
  "id": "1411.5117",
  "version": "v1",
  "published": "2014-11-19T05:49:01.000Z",
  "updated": "2014-11-19T05:49:01.000Z",
  "title": "Proper harmonic maps between asymptotically hyperbolic manifolds",
  "authors": [
    "Kazuo Akutagawa",
    "Yoshihiko Matsumoto"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Generalizing the result of Li and Tam for the hyperbolic spaces, we prove an existence theorem on the Dirichlet problem for harmonic maps with $C^1$ boundary conditions at infinity between asymptotically hyperbolic manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-19T05:49:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C43",
      "58J32"
    ],
    "keywords": [
      "asymptotically hyperbolic manifolds",
      "proper harmonic maps",
      "hyperbolic spaces",
      "existence theorem",
      "dirichlet problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.5117A"
    }
  }
}