{
  "id": "1606.02423",
  "version": "v1",
  "published": "2016-06-08T07:05:54.000Z",
  "updated": "2016-06-08T07:05:54.000Z",
  "title": "Gaussian heat kernel estimates: from functions to forms",
  "authors": [
    "Thierry Coulhon",
    "Baptiste Devyver",
    "Adam Sikora"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "On a complete non-compact Riemannian manifold satisfying the volume doubling property, we give conditions on the negative part of the Ricci curvature that ensure that, unless there are harmonic one-forms, the Gaussian heat kernel upper estimate on functions transfers to one-forms. These conditions do no entail any constraint on the size of the Ricci curvature, only on its decay at infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-08T07:05:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J35"
    ],
    "keywords": [
      "gaussian heat kernel estimates",
      "non-compact riemannian manifold satisfying",
      "gaussian heat kernel upper estimate",
      "complete non-compact riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}