{
  "id": "math/0406437",
  "version": "v2",
  "published": "2004-06-22T16:22:05.000Z",
  "updated": "2004-12-08T20:33:07.000Z",
  "title": "A Lower Bound of The First Eigenvalue of a Closed Manifold with Positive Ricci Curvature",
  "authors": [
    "Jun Ling"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We give an estimate on the lower bound of the first non-zero eigenvalue of the Laplacian for a closed Riemannian manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-12-08T20:33:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J50",
      "35P15",
      "53C21"
    ],
    "keywords": [
      "positive ricci curvature",
      "lower bound",
      "first eigenvalue",
      "closed manifold",
      "first non-zero eigenvalue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6437L"
    }
  }
}