{
  "id": "1812.02198",
  "version": "v1",
  "published": "2018-12-05T19:35:41.000Z",
  "updated": "2018-12-05T19:35:41.000Z",
  "title": "Characterizing Level-set Families of Harmonic Functions",
  "authors": [
    "Pisheng Ding"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "Families of hypersurfaces that are level-set families of harmonic functions are characterized by a simple analytic condition. Harmonic functions with a specified level-set family are constructed from geometric data. Emphasis is placed on the two-variable case, which embodies the general case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-05T19:35:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31A05",
      "31B05",
      "53A04",
      "53A05",
      "53A07"
    ],
    "keywords": [
      "harmonic functions",
      "characterizing level-set families",
      "level-set family",
      "simple analytic condition",
      "general case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}