{
  "id": "math/0406120",
  "version": "v4",
  "published": "2004-06-07T15:43:44.000Z",
  "updated": "2004-12-08T22:08:39.000Z",
  "title": "A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci Curvature",
  "authors": [
    "Jun Ling"
  ],
  "comment": "16 pages, title changed",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We give a new estimate on the lower bound for the first Dirichlet eigenvalue for a compact manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature. The result improves the previous estimates.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2004-12-08T22:08:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J50",
      "35P15",
      "53C21"
    ],
    "keywords": [
      "first dirichlet eigenvalue",
      "positive ricci curvature",
      "lower bound",
      "compact manifold",
      "in-diameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6120L"
    }
  }
}