{
  "id": "1304.3327",
  "version": "v1",
  "published": "2013-04-11T14:45:02.000Z",
  "updated": "2013-04-11T14:45:02.000Z",
  "title": "Expansive measures for flows",
  "authors": [
    "D. Carrasco-Olivera",
    "C. A. Morales"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We extend the concept of expansive measure \\cite{am} defined for homeomorphism to flows. We obtain some properties for such measures including abscense of singularities in the support, aperiodicity, expansivity with respect to time-$T$ maps, invariance under flow-equivalence, negligibleness of orbits, characterization of expansive measures for expansive flows and naturallity under suspensions. As an application we obtain a new proof of the well known fact that there are no continuous expansive flows on surfaces (e.g. \\cite{hs}).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-11T14:45:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H20",
      "34C35"
    ],
    "keywords": [
      "expansive measure",
      "expansive flows",
      "homeomorphism",
      "properties",
      "singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.3327C"
    }
  }
}