{
  "id": "0710.5752",
  "version": "v1",
  "published": "2007-10-30T21:05:16.000Z",
  "updated": "2007-10-30T21:05:16.000Z",
  "title": "Some classifications of \\infty-Harmonic maps between Riemannian manifolds",
  "authors": [
    "Ze-Ping Wang",
    "Ye-Lin Ou"
  ],
  "comment": "25 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "$\\infty$-Harmonic maps are a generalization of $\\infty$-harmonic functions. They can be viewed as the limiting cases of p-harmonic maps as p goes to infinity. In this paper, we give complete classifications of linear and quadratic $\\infty$-harmonic maps from and into a sphere, quadratic $\\infty$-harmonic maps between Euclidean spaces. We describe all linear and quadratic $\\infty$-harmonic maps between Nil and Euclidean spaces, between Sol and Euclidean spaces. We also study holomorphic $\\infty$-harmonic maps between complex Euclidean spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-30T21:05:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E20",
      "53C12"
    ],
    "keywords": [
      "riemannian manifolds",
      "complex euclidean spaces",
      "harmonic functions",
      "complete classifications",
      "p-harmonic maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.5752W"
    }
  }
}