{
  "id": "2112.01595",
  "version": "v2",
  "published": "2021-12-02T20:23:47.000Z",
  "updated": "2022-06-13T20:16:11.000Z",
  "title": "Smooth rigidity for codimension one Anosov flows",
  "authors": [
    "Andrey Gogolev",
    "Federico Rodriguez Hertz"
  ],
  "comment": "15 pages, 2 figures; final version",
  "categories": [
    "math.DS"
  ],
  "abstract": "We introduce the matching functions technique in the setting of Anosov flows. Then we observe that simple periodic cycle functionals (also known as temporal distance functions) provide a source of matching functions for conjugate Anosov flows. For conservative codimension one Anosov flows $\\varphi^t\\colon M\\to M$, $\\dim M\\ge 4$, these simple periodic cycle functionals are $C^1$ regular and, hence, can be used to improve regularity of the conjugacy. Specifically, we prove that a continuous conjugacy must, in fact, be a $C^1$ diffeomorphism for an open and dense set of codimension one conservative Anosov flows.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-06-13T20:16:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth rigidity",
      "simple periodic cycle functionals",
      "codimension",
      "temporal distance functions",
      "conjugate anosov flows"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}