{
  "id": "math/0412098",
  "version": "v1",
  "published": "2004-12-05T17:25:17.000Z",
  "updated": "2004-12-05T17:25:17.000Z",
  "title": "Proof of the Morse conjecture for analytic flows on orientable surfaces",
  "authors": [
    "S. Aranson",
    "E. Zhuzhoma"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In 1946, M. Morse proposed a conjecture that an analytic topologically transitive systems is metrically transitive. We prove this Morse conjecture for flows on a closed orientable surface of negative Euler characteristic. As a consequence, the Morse conjecture is true for highly transitive flows on non-orientable surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-05T17:25:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "morse conjecture",
      "analytic flows",
      "analytic topologically transitive systems",
      "negative euler characteristic",
      "non-orientable surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12098A"
    }
  }
}