{
  "id": "1211.6863",
  "version": "v2",
  "published": "2012-11-29T10:08:30.000Z",
  "updated": "2013-01-24T08:05:12.000Z",
  "title": "Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below",
  "authors": [
    "Batu Güneysu",
    "Diego Pallara"
  ],
  "comment": "26 pages; BV-characterization of Sobolev functions added",
  "categories": [
    "math.DG",
    "math.MG",
    "math.PR"
  ],
  "abstract": "After establishing some new global facts (like a measure theoretic structure theorem and approximation results) about complex-valued functions with bounded variation on arbitrary noncompact Riemannian manifolds, we extend results of Miranda/the second author/Paronetto/Preunkert and of Carbonaro/Mauceri on the heat semigroup characterization of the variation of L^1-functions to a class of Riemannian manifolds with possibly unbounded from below Ricci curvature.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-24T08:05:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ricci curvature",
      "bounded variation",
      "measure theoretic structure theorem",
      "arbitrary noncompact riemannian manifolds",
      "heat semigroup characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.6863G"
    }
  }
}