{
  "id": "2102.08712",
  "version": "v1",
  "published": "2021-02-17T11:51:20.000Z",
  "updated": "2021-02-17T11:51:20.000Z",
  "title": "The Euler characteristic of hypersurfaces in space forms and applications to isoparametric hypersurfaces",
  "authors": [
    "R. Albuquerque"
  ],
  "comment": "Article dedicated to the commemorations of the 500th anniversary of the first global circumnavigation voyage by the Portuguese and Spanish navigators",
  "categories": [
    "math.DG"
  ],
  "abstract": "We revisit Allendoerfer-Weil's formula for the Euler characteristic of embedded hypersurfaces in constant sectional curvature manifolds, first taking the opportunity to re-prove it while demonstrating techniques of [2] and then applying it to gain new understanding of isoparametric hypersurfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-17T11:51:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C35",
      "57R20",
      "53C17",
      "58A15"
    ],
    "keywords": [
      "isoparametric hypersurfaces",
      "euler characteristic",
      "space forms",
      "applications",
      "constant sectional curvature manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}