{
  "id": "1107.0092",
  "version": "v2",
  "published": "2011-07-01T01:49:12.000Z",
  "updated": "2011-07-13T05:50:09.000Z",
  "title": "Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch",
  "authors": [
    "Hamid Hezari",
    "Zuoqin Wang"
  ],
  "comment": "This is a revised version which improves the result of the earlier version",
  "categories": [
    "math.AP",
    "math.DG",
    "math.SP"
  ],
  "abstract": "We use the Dong-Sogge-Zelditch formula to obtain a lower bound for the volume of the nodal sets of eigenfunctions. Our result improves the recent results of Sogge-Zelditch and in dimensions n \\leq 5 gives a new proof for the lower bounds of Colding-Minicozzi.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-13T05:50:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "nodal sets",
      "improvement",
      "dong-sogge-zelditch formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.0092H"
    }
  }
}