{
  "id": "1607.03022",
  "version": "v1",
  "published": "2016-07-11T16:42:53.000Z",
  "updated": "2016-07-11T16:42:53.000Z",
  "title": "A topological conjugacy of invariant flows on some class of Lie groups",
  "authors": [
    "Alexandre J. Santana",
    "Simão N. Stelmastchuk"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "The aim of this paper is to give a condition to topological conjugacy of invariant flows in an Lie group $G$ which its Lie algebra $\\mathfrak{g}$ is associative algebra or semisimple. In fact, we show that if two dynamical system on $G$ are hyperbolic, then they are topological conjugate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-11T16:42:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E20",
      "54H20",
      "37B99"
    ],
    "keywords": [
      "lie group",
      "invariant flows",
      "topological conjugacy",
      "lie algebra",
      "semisimple"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}