{
  "id": "1712.03870",
  "version": "v1",
  "published": "2017-12-11T16:25:30.000Z",
  "updated": "2017-12-11T16:25:30.000Z",
  "title": "A Liouville Theorem for biharmonic maps between complete Riemannian manifolds with small tension field",
  "authors": [
    "Volker Branding"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove a Liouville theorem for biharmonic maps between complete Riemannian manifolds, where we do not make any assumption on the curvature of the target manifold. Instead, we require that the image of the map is contained in a compact set and that its tension field is sufficiently small.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-11T16:25:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complete riemannian manifolds",
      "small tension field",
      "biharmonic maps",
      "liouville theorem",
      "target manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}