{
  "id": "2205.14848",
  "version": "v1",
  "published": "2022-05-30T04:41:05.000Z",
  "updated": "2022-05-30T04:41:05.000Z",
  "title": "Homoclinics for geodesic flows of surfaces",
  "authors": [
    "Gonzalo Contreras",
    "Fernando Oliveira"
  ],
  "categories": [
    "math.DS",
    "math.DG"
  ],
  "abstract": "We prove that the geodesic flow of a Kupka-Smale riemannian metric on a closed surface has homoclinic orbits for all of its hyperbolic closed geodesics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-30T04:41:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "53D25",
      "37C29"
    ],
    "keywords": [
      "geodesic flow",
      "kupka-smale riemannian metric",
      "homoclinic orbits",
      "hyperbolic closed geodesics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}