{
  "id": "math/0302255",
  "version": "v1",
  "published": "2003-02-20T17:19:36.000Z",
  "updated": "2003-02-20T17:19:36.000Z",
  "title": "Heat content, torsional rigidity and generalized Hardy inequalities for complete Riemannian manifolds",
  "authors": [
    "Michiel van den Berg",
    "Peter B. Gilkey"
  ],
  "categories": [
    "math.DG",
    "hep-th",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We obtain upper bounds on the heat content and on the torsional rigidity of a complete Riemannian manifold M, assuming a generalized Hardy inequality for the Dirichlet Laplacian on M.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-20T17:19:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K05",
      "58G25",
      "60J65"
    ],
    "keywords": [
      "complete riemannian manifold",
      "generalized hardy inequality",
      "torsional rigidity",
      "heat content",
      "upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 639741,
      "adsabs": "2003math......2255V"
    }
  }
}