{
  "id": "1911.10938",
  "version": "v1",
  "published": "2019-11-21T20:54:19.000Z",
  "updated": "2019-11-21T20:54:19.000Z",
  "title": "Bismut type formulae for differential forms",
  "authors": [
    "K. D. Elworthy",
    "Xue-Mei Li"
  ],
  "journal": "C. R. Acad. Sci. Paris Ser. I Math. 327 (1998), no. 1, 87-92",
  "categories": [
    "math.PR"
  ],
  "abstract": "Formulae are given for $dP_t \\phi$, $d^*P_t\\phi$ and $\\Delta P_t\\phi$ for $P_t$ the heat semigroup acting on a q-form $\\phi$. The formulae are Brownian motion expectations of $\\phi$ composed with random translations determined by Weitzenbock curvarure terms. Derivatives of the curvature are not involved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-21T20:54:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bismut type formulae",
      "differential forms",
      "weitzenbock curvarure terms",
      "brownian motion expectations",
      "random translations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}