{
  "id": "2404.02739",
  "version": "v1",
  "published": "2024-04-03T13:36:53.000Z",
  "updated": "2024-04-03T13:36:53.000Z",
  "title": "The Blaschke rolling theorem in Riemannian manifolds of bounded curvature",
  "authors": [
    "Kostiantyn Drach"
  ],
  "comment": "5 figures",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "We generalize the classical Blaschke Rolling Theorem to convex domains in Riemannian manifolds of bounded sectional curvature and arbitrary dimension. Our results are sharp and, in this sharp form, are new even in the model spaces of constant curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-03T13:36:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemannian manifolds",
      "bounded curvature",
      "model spaces",
      "classical blaschke rolling theorem",
      "sharp form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}