{
  "id": "2007.07424",
  "version": "v1",
  "published": "2020-07-15T01:16:28.000Z",
  "updated": "2020-07-15T01:16:28.000Z",
  "title": "Expansiveness, Shadowing and Markov Partition for Anosov Families",
  "authors": [
    "Jeovanny Muentes",
    "Raquel Ribeiro"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study Anosov families which are sequences of diffeomorphisms along compact Riemannian manifolds such that the tangent bundle split into expanding and contracting subspaces. In this paper we prove that a certain class of Anosov families: (i) admit canonical coordinates (ii) are expansive, (iii) satisfy the shadowing property, and (iv) exhibit a Markov partition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-15T01:16:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C60",
      "37D20"
    ],
    "keywords": [
      "markov partition",
      "expansiveness",
      "tangent bundle split",
      "study anosov families",
      "compact riemannian manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}