{
  "id": "2008.13153",
  "version": "v1",
  "published": "2020-08-30T12:30:49.000Z",
  "updated": "2020-08-30T12:30:49.000Z",
  "title": "Distance difference functions on non-convex boundaries of Riemannian manifolds",
  "authors": [
    "Sergei Ivanov"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that a complete Riemannian manifold with boundary is uniquely determined, up to an isometry, by its distance difference representation on the boundary. Unlike previously known results, we do not impose any restrictions on the boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-30T12:30:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20"
    ],
    "keywords": [
      "distance difference functions",
      "non-convex boundaries",
      "complete riemannian manifold",
      "distance difference representation",
      "restrictions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}