{
  "id": "0802.2948",
  "version": "v1",
  "published": "2008-02-20T21:18:44.000Z",
  "updated": "2008-02-20T21:18:44.000Z",
  "title": "Heat Content, Heat Trace, and Isospectrality",
  "authors": [
    "Peter B. Gilkey"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the heat content function, the heat trace function, and questions of isospectrality for the Laplacian with Dirichlet boundary conditions on a compact manifold with smooth boundary in the context of finite coverings and warped products.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-20T21:18:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J35"
    ],
    "keywords": [
      "isospectrality",
      "heat content function",
      "heat trace function",
      "dirichlet boundary conditions",
      "finite coverings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.2948G"
    }
  }
}