{
  "id": "math/0403537",
  "version": "v1",
  "published": "2004-03-31T10:30:59.000Z",
  "updated": "2004-03-31T10:30:59.000Z",
  "title": "Backward volume contraction for endomorphisms with eventual volume expansion",
  "authors": [
    "Jose F. Alves",
    "Armando Castro",
    "Vilton Pinheiro"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider smooth maps on compact Riemannian manifolds. We prove that under some mild condition of eventual volume expansion Lebesgue almost everywhere we have uniform backward volume contraction on every pre-orbit for Lebesgue almost every point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-31T10:30:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eventual volume expansion lebesgue",
      "endomorphisms",
      "uniform backward volume contraction",
      "compact riemannian manifolds",
      "smooth maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3537A"
    }
  }
}