{
  "id": "1012.3846",
  "version": "v2",
  "published": "2010-12-17T10:55:34.000Z",
  "updated": "2011-04-20T11:54:41.000Z",
  "title": "A note on Gaussian curvature of harmonic surfaces",
  "authors": [
    "Kaveh Eftekharinasab"
  ],
  "journal": "Proceeding of Institute of mathematics of Ukrainian Academy of Sciences. vol 7, no 4, pp. 146 --152. 2010",
  "categories": [
    "math.DG"
  ],
  "abstract": "It was proved that the fundamental group of the space of harmonic polynomials of degree $n(n \\geq 2)$, with the same Gaussian curvature is not trivial. Furthermore, we give an example of topologically nonequivalent conjugate harmonic functions having the same Gaussian curvature.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-20T11:54:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian curvature",
      "harmonic surfaces",
      "topologically nonequivalent conjugate harmonic functions",
      "harmonic polynomials",
      "fundamental group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3846E"
    }
  }
}