{
  "id": "0704.2927",
  "version": "v1",
  "published": "2007-04-23T06:37:39.000Z",
  "updated": "2007-04-23T06:37:39.000Z",
  "title": "Some smooth Finsler deformations of hyperbolic surfaces",
  "authors": [
    "Bruno Colbois",
    "Florence Newberger",
    "Patrick Verovic"
  ],
  "journal": "Annals of Global Analysis and Geometry 35, 2 (2009) 191--226",
  "doi": "10.1007/s10455-088-9130-z",
  "categories": [
    "math.DG"
  ],
  "abstract": "Given a closed hyperbolic Riemannian surface, the aim of the present paper is to describe an explicit construction of smooth deformations of the hyperbolic metric into Finsler metrics that are not Riemannian and whose properties are such that the classical Riemannian results about entropy rigidity, marked length spectrum rigidity and boundary rigidity all fail to extend to the Finsler category.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-23T06:37:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth finsler deformations",
      "hyperbolic surfaces",
      "marked length spectrum rigidity",
      "closed hyperbolic riemannian surface",
      "boundary rigidity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2927C"
    }
  }
}