{
  "id": "math/0303160",
  "version": "v1",
  "published": "2003-03-13T09:30:11.000Z",
  "updated": "2003-03-13T09:30:11.000Z",
  "title": "The index of biharmonic maps in spheres",
  "authors": [
    "E. Loubeau",
    "C. Oniciuc"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Biharmonic maps are the critical points of the bienergy functional and generalise harmonic maps. We investigate the index of a class of biharmonic maps, derived from minimal Riemannian immersions into spheres. This study is motivated by three families of examples: the totally geodesic inclusion of spheres, the Veronese map and the Clifford torus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-13T09:30:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E20",
      "53C42"
    ],
    "keywords": [
      "biharmonic maps",
      "minimal riemannian immersions",
      "generalise harmonic maps",
      "bienergy functional",
      "totally geodesic inclusion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3160L"
    }
  }
}