{
  "id": "2206.06574",
  "version": "v1",
  "published": "2022-06-14T03:25:23.000Z",
  "updated": "2022-06-14T03:25:23.000Z",
  "title": "Isoparametric hypersurfaces and complex structures",
  "authors": [
    "Zizhou Tang",
    "Wenjiao Yan"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "The main purpose of this note is to construct almost complex or complex structures on certain isoparametric hypersurfaces in unit spheres. As consequences, complex structures on $S^1\\times S^7\\times S^6$, and on $S^1\\times S^3\\times S^2$ with vanishing first Chern class, are built.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-14T03:25:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex structures",
      "isoparametric hypersurfaces",
      "main purpose",
      "unit spheres",
      "vanishing first chern class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}