{
  "id": "2209.09072",
  "version": "v1",
  "published": "2022-09-19T15:04:32.000Z",
  "updated": "2022-09-19T15:04:32.000Z",
  "title": "Isoparametric hypersurfaces in product spaces",
  "authors": [
    "João Batista Marques dos Santos",
    "João Paulo dos Santos"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we characterize and classify the isoparametric hypersurfaces with constant principal curvatures in the product spaces $ \\mathbb{Q}^{2}_{c_{1}} \\times \\mathbb{Q}^{2}_{c_{2}}$, where $\\mathbb{Q}^{2}_{c_{i}}$ is a space form with constant sectional curvature $c_{i}$, for $c_1 \\neq c_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-19T15:04:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C42"
    ],
    "keywords": [
      "product spaces",
      "isoparametric hypersurfaces",
      "constant principal curvatures",
      "constant sectional curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}