{
  "id": "1304.6529",
  "version": "v2",
  "published": "2013-04-24T09:42:50.000Z",
  "updated": "2014-05-13T07:12:08.000Z",
  "title": "Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups",
  "authors": [
    "Karel Dekimpe",
    "Jonas Deré"
  ],
  "comment": "19 pages; Section 5 (Applications) added; to appear in TMNA",
  "categories": [
    "math.DS"
  ],
  "abstract": "An infra-nilmanifold is a manifold which is constructed as a quotient space $\\Gamma\\backslash G$ of a simply connected nilpotent Lie group $G$, where $\\Gamma$ is a discrete group acting properly discontinuously and cocompactly on $G$ via so called affine maps. The manifold $\\Gamma\\backslash G$ is said to be modeled on the Lie group $G$. This class of manifolds is conjectured to be the only class of closed manifolds allowing an Anosov diffeomorphism. However, it is far from obvious which of these infra--nilmanifolds actually do admit an Anosov diffeomorphism. In this paper we completely solve this question for infra-nilmanifolds modeled on a free $c$--step nilpotent Lie group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-13T07:12:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free nilpotent lie groups",
      "anosov diffeomorphism",
      "infra-nilmanifolds",
      "group acting",
      "step nilpotent lie group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6529D"
    }
  }
}