{
  "id": "1106.1058",
  "version": "v3",
  "published": "2011-06-06T13:15:40.000Z",
  "updated": "2011-06-13T18:53:40.000Z",
  "title": "On a Smale Conjecture for the existence of fixed points for Anosov diffeomorphisms",
  "authors": [
    "Tomoo Yokoyama"
  ],
  "comment": "This paper has been withdrawn by the author due to a crucial error that the the constructed metric $g$ in the proof of the key lemma does not preserve subbundles",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that if the stable foliation and the unstable foliation of an Anosov diffeomorphism on a connected compact manifold are $C^3$, then the diffeomorphism has fixed points. This is a partial positive answer to a Smale conjecture for fixed points of Anosov diffeomorphisms.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-06-13T18:53:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anosov diffeomorphism",
      "fixed points",
      "smale conjecture",
      "connected compact manifold",
      "partial positive answer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.1058Y"
    }
  }
}