{
  "id": "1503.05506",
  "version": "v1",
  "published": "2015-03-18T17:40:42.000Z",
  "updated": "2015-03-18T17:40:42.000Z",
  "title": "Harmonic Functions On Manifolds Whose Large Sphere Are Small",
  "authors": [
    "Gilles Carron"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We study the growth of harmonic functions on complete Riemann-ian manifolds where the extrinsic diameter of geodesic spheres is sublinear. It is an generalization of a result of A. Kazue. We also get a Cheng and Yau estimates for the gradient of harmonic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-18T17:40:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic functions",
      "large sphere",
      "complete riemann-ian manifolds",
      "geodesic spheres",
      "extrinsic diameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}