{
  "id": "1403.3572",
  "version": "v1",
  "published": "2014-03-14T13:33:51.000Z",
  "updated": "2014-03-14T13:33:51.000Z",
  "title": "A dichotomy in area-preserving reversible maps",
  "authors": [
    "Mario Bessa",
    "Alexandre Rodrigues"
  ],
  "comment": "12 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we study R-reversible area-preserving maps f on a two-dimensional Riemannian closed manifold M, i.e. diffeomorphisms f such that Ro f=f^{-1}o R where R is an isometric involution on M. We obtain a C1-residual subset where any map inside it is Anosov or else has a dense set of elliptic periodic orbits. As a consequence we obtain the proof of the stability conjecture for this class of maps. Along the paper we also derive the C1-closing lemma for reversible maps and other perturbation toolboxes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-14T13:33:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "area-preserving reversible maps",
      "elliptic periodic orbits",
      "two-dimensional riemannian closed manifold",
      "stability conjecture",
      "c1-residual subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.3572B"
    }
  }
}