{
  "id": "math/0305280",
  "version": "v1",
  "published": "2003-05-19T22:19:22.000Z",
  "updated": "2003-05-19T22:19:22.000Z",
  "title": "Two dimensional compact simple Riemannian manifolds are boundary distance rigid",
  "authors": [
    "L. Pestov",
    "G. Uhlmann"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We prove that knowing the length of geodesics joining points on the boundary of a two-dimensional, compact, simple Riemannian manifold with boundary, we can determine uniquely the Riemannian metric up to the natural obstruction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-19T22:19:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "53C60"
    ],
    "keywords": [
      "dimensional compact simple riemannian manifolds",
      "boundary distance rigid",
      "geodesics joining points",
      "riemannian metric",
      "natural obstruction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5280P"
    }
  }
}