{
  "id": "1601.07079",
  "version": "v1",
  "published": "2016-01-26T16:06:46.000Z",
  "updated": "2016-01-26T16:06:46.000Z",
  "title": "Homoclinic intersections for geodesic flows on convex spheres",
  "authors": [
    "Zhihong Xia",
    "Pengfei Zhang"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we study some generic properties of the geodesic flows on a convex sphere. We prove that, $C^r$ generically ($2\\le r\\le\\infty$), every hyperbolic closed geodesic admits some transversal homoclinic orbits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-26T16:06:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C20",
      "37C29",
      "37D40"
    ],
    "keywords": [
      "geodesic flows",
      "convex sphere",
      "homoclinic intersections",
      "hyperbolic closed geodesic admits",
      "transversal homoclinic orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160107079X"
    }
  }
}