{
  "id": "1104.5063",
  "version": "v2",
  "published": "2011-04-27T02:34:59.000Z",
  "updated": "2012-02-27T11:30:13.000Z",
  "title": "Volume Preserving Diffeomorphisms with Weak and Limit Weak Shadowing",
  "authors": [
    "Manseob Lee"
  ],
  "comment": "9 pages. arXiv admin note: substantial text overlap with arXiv:1105.5917",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let f be a volume-preserving diffeomorphism of a closed C1 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 diffeomorphisms which satisfy the weak shadowing property, (b) f belongs to the C1-interior of the set of volume-preserving diffeomorphisms which satisfy the limit weak shadowing property, (c) f is Anosov.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-27T11:30:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37C29",
      "37C20",
      "37C50"
    ],
    "keywords": [
      "volume preserving diffeomorphisms",
      "volume-preserving diffeomorphism",
      "closed c1 n-dimensional riemannian manifold",
      "limit weak shadowing property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.5063L"
    }
  }
}