{
  "id": "2401.03417",
  "version": "v1",
  "published": "2024-01-07T08:12:51.000Z",
  "updated": "2024-01-07T08:12:51.000Z",
  "title": "Regularity of the geodesic flow on submanifolds",
  "authors": [
    "Christian Lange"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "We show that the geodesic flow and the exponential map of a $C^k$ submanifold of $\\mathbb{R}^n$ with $k\\geq 2$ are of class $C^{k-1}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-07T08:12:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B20",
      "37D40"
    ],
    "keywords": [
      "geodesic flow",
      "submanifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}