{
  "id": "2106.05056",
  "version": "v1",
  "published": "2021-06-09T13:15:25.000Z",
  "updated": "2021-06-09T13:15:25.000Z",
  "title": "Isoparametric hypersurfaces of conic Finsler manifolds",
  "authors": [
    "Qun He",
    "Xin Huang",
    "Peilong Dong"
  ],
  "comment": "17",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that in a conic Minkowski space, besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, which are all isoparametric hypersurfaces, there are probably other isoparametric hypersurfaces, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in kropina space with constant flag curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-09T13:15:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "isoparametric hypersurfaces",
      "conic finsler manifolds",
      "conic minkowski space",
      "conic minkowski cylinders",
      "conic minkowski hyperplanes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}