{
  "id": "1002.2887",
  "version": "v1",
  "published": "2010-02-15T15:09:08.000Z",
  "updated": "2010-02-15T15:09:08.000Z",
  "title": "Analysis on Path Spaces over Riemmannian Manifolds with Boundary",
  "authors": [
    "Feng-Yu Wang"
  ],
  "comment": "14 pages",
  "categories": [
    "math.PR",
    "math.DG"
  ],
  "abstract": "By using Hsu's multiplicative functional for the Neumann heat equation, a natural damped gradient operator is defined for the reflecting Brownian motion on compact manifolds with boundary. This operator is linked to quasi-invariant flows in terms of a integration by parts formula, which leads to the standard log-Sobolev inequality for the associated Dirichlet form on the path space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-15T15:09:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J60",
      "58G32"
    ],
    "keywords": [
      "path space",
      "riemmannian manifolds",
      "neumann heat equation",
      "natural damped gradient operator",
      "standard log-sobolev inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.2887W"
    }
  }
}