{
  "id": "1910.06166",
  "version": "v1",
  "published": "2019-10-14T14:23:55.000Z",
  "updated": "2019-10-14T14:23:55.000Z",
  "title": "Proper $r$-harmonic functions from Riemannian manifolds",
  "authors": [
    "Sigmundur Gudmundsson",
    "Marko Sobak"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We introduce a new method for constructing complex-valued $r$-harmonic functions on Riemannian manifolds. We then apply this method for the important semisimple Lie groups $SO(n)$, $SU(n)$, $Sp(n)$, $SL_n(R)$, $Sp(R,n)$, $SU(p,q)$, $SO(p,q)$, $Sp(p,q)$, $SO^*(2n)$ and $SU^*(2n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-14T14:23:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31B30",
      "53C43",
      "58E20"
    ],
    "keywords": [
      "harmonic functions",
      "riemannian manifolds",
      "important semisimple lie groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}