{
  "id": "2102.03153",
  "version": "v1",
  "published": "2021-02-05T13:08:09.000Z",
  "updated": "2021-02-05T13:08:09.000Z",
  "title": "Constant mean curvature surfaces based on fundamental quadrilaterals",
  "authors": [
    "Alexander I. Bobenko",
    "Sebastian Heller",
    "Nicholas Schmitt"
  ],
  "comment": "22 pages, 30 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We describe the construction of CMC surfaces with symmetries in $\\mathbb S^3$ and $\\mathbb R^3$ using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the space. The fundamental piece is constructed by the generalized Weierstrass representation using a geometric flow on the space of potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-05T13:08:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constant mean curvature surfaces",
      "fundamental quadrilaterals",
      "cmc surfaces",
      "cmc quadrilateral",
      "geometric flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}