{
  "id": "2208.08475",
  "version": "v1",
  "published": "2022-08-17T18:33:58.000Z",
  "updated": "2022-08-17T18:33:58.000Z",
  "title": "A Riemannian plane with only two injective Geodesics",
  "authors": [
    "Victor Bangert",
    "Stefan Suhr"
  ],
  "comment": "are welcome",
  "categories": [
    "math.DG"
  ],
  "abstract": "We present an example of a complete Riemannian plane with precisely two injective geodesics - up to reparameterization. The example arises as a perturbation of a surface of revolution with contracting end. The last section is devoted to open problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-17T18:33:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C22"
    ],
    "keywords": [
      "injective geodesics",
      "complete riemannian plane",
      "open problems",
      "example arises",
      "contracting end"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}