{
  "id": "2111.14995",
  "version": "v2",
  "published": "2021-11-29T22:27:27.000Z",
  "updated": "2022-07-21T23:38:00.000Z",
  "title": "Nonplanar minimal spheres in ellipsoids of revolution",
  "authors": [
    "Renato G. Bettiol",
    "Paolo Piccione"
  ],
  "comment": "LaTeX2e, 32 pages, 4 figures, revised version",
  "categories": [
    "math.DG"
  ],
  "abstract": "We use global bifurcation techniques to establish the existence of arbitrarily many geometrically distinct nonplanar embedded smooth minimal 2-spheres in sufficiently elongated 3-dimensional ellipsoids of revolution. More precisely, we quantify the growth rate of the number of such minimal spheres, and describe their asymptotic behavior as the ellipsoids converge to a cylinder.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-07-21T23:38:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53C42",
      "58J55",
      "34B24",
      "34C23",
      "35B32",
      "49Q05"
    ],
    "keywords": [
      "nonplanar minimal spheres",
      "ellipsoids",
      "revolution",
      "distinct nonplanar embedded smooth minimal",
      "global bifurcation techniques"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}