{
  "id": "math/0406296",
  "version": "v2",
  "published": "2004-06-15T14:46:44.000Z",
  "updated": "2005-01-12T01:24:58.000Z",
  "title": "Lower Bounds of the First Closed and Neumann Eigenvalues of Compact Manifolds with Positive Ricci Curvature",
  "authors": [
    "Jun Ling"
  ],
  "comment": "enhanced results, 29 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We give new estimates on the lower bounds for the first closed or Neumann eigenvalue for a compact manifold with positive Ricci curvature in terms of the diameter and the lower bound of Ricci curvature. The results improve the previous estimates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-01-12T01:24:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J50",
      "35P15",
      "53C21"
    ],
    "keywords": [
      "positive ricci curvature",
      "lower bound",
      "compact manifold",
      "neumann eigenvalue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6296L"
    }
  }
}