{
  "id": "1511.07911",
  "version": "v1",
  "published": "2015-11-24T22:54:38.000Z",
  "updated": "2015-11-24T22:54:38.000Z",
  "title": "On the total curvature of minimizing geodesics on convex surfaces",
  "authors": [
    "Nina Lebedeva",
    "Anton Petrunin"
  ],
  "comment": "15 pages, 4 figures",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "We give a universal upper bound for the total curvature of minimizing geodesic on a convex surface in the Euclidean space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-24T22:54:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "total curvature",
      "convex surface",
      "minimizing geodesic",
      "universal upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151107911L"
    }
  }
}