{
  "id": "2009.03835",
  "version": "v1",
  "published": "2020-09-08T16:02:38.000Z",
  "updated": "2020-09-08T16:02:38.000Z",
  "title": "Gauss maps of surfaces in 3-dimentional Heisenberg group",
  "authors": [
    "Christiam Figueroa"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we study the Gauss map of surfaces in 3-dimensional Heisenberg group using the Gans model of the hyperbolic plane. We establish a relationship between the tension field of the Gauss map and mean curvature of a surface in $\\mathcal{H}_{3}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-08T16:02:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauss map",
      "heisenberg group",
      "gans model",
      "hyperbolic plane",
      "tension field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}