{
  "id": "1105.5917",
  "version": "v3",
  "published": "2011-05-30T09:38:59.000Z",
  "updated": "2012-03-05T03:31:16.000Z",
  "title": "Volume Preserving Diffeomorphisms with Inverse Shadowing",
  "authors": [
    "Manseob Lee"
  ],
  "comment": "10 pages. arXiv admin note: text overlap with arXiv:1104.5063",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let f be a volume-preserving diffeomorphism of a closed C^\\infty n-dimensional Riemannian manifold M: In this paper, we prove the equivalence between the following conditions: (a) f belongs to the C1-interior of the set of volume-preserving diffeoeomorphisms which satisfy the inverse shadowing property with respect to the continuous methods. (b) f belongs to the C1-interior of the set of volume-preserving diffeomorphisms which satisfy the weak inverse shadowing property with respect to the continuous methods. (c) f belongs to the C1-interior of the set of volume-preserving diffeomorphisms which satisfy the orbital inverse shadowing property with respect to the continuous methods, (d) f is Anosov.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-03-05T03:31:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37C29",
      "37C20",
      "37C50"
    ],
    "keywords": [
      "volume preserving diffeomorphisms",
      "continuous methods",
      "volume-preserving diffeomorphism",
      "weak inverse shadowing property",
      "n-dimensional riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.5917L"
    }
  }
}