{
  "id": "2007.15834",
  "version": "v1",
  "published": "2020-07-31T04:05:28.000Z",
  "updated": "2020-07-31T04:05:28.000Z",
  "title": "Geometric analysis on manifolds with ends",
  "authors": [
    "Alexander Grigor'yan",
    "Satoshi Ishiwata",
    "Laurent Saloff-Coste"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DG",
    "math.FA"
  ],
  "abstract": "In this survey article, we discuss some recent progress on geometric analysis on manifold with ends. In the final section, we construct manifolds with ends with oscillating volume functions which may turn out to have a different heat kernel estimates from those provided by known results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-31T04:05:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58-02",
      "35K08",
      "58J65",
      "58J35"
    ],
    "keywords": [
      "geometric analysis",
      "heat kernel estimates",
      "construct manifolds",
      "final section",
      "oscillating volume functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}