{
  "id": "math/0301010",
  "version": "v1",
  "published": "2003-01-02T14:52:15.000Z",
  "updated": "2003-01-02T14:52:15.000Z",
  "title": "On the geodesic flow of surfaces of nonpositive curvature",
  "authors": [
    "Federico Rodriguez Hertz"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $S$ be a surface of nonpositive curvature of genus bigger than 1 (i.e. not the torus). We prove that any flat strip in the surface is in fact a flat cylinder. Moreover we prove that the number of homotopy classes of such flat cylinders is bounded.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-02T14:52:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonpositive curvature",
      "geodesic flow",
      "flat cylinder",
      "flat strip",
      "homotopy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1010R"
    }
  }
}