{
  "id": "math/0410493",
  "version": "v1",
  "published": "2004-10-22T14:51:39.000Z",
  "updated": "2004-10-22T14:51:39.000Z",
  "title": "Estimates of the first eigenvalue of minimal hypersurfaces of $\\mathbb{S}^{n+1}",
  "authors": [
    "Abdenago Barros G. Pacelli Bessa"
  ],
  "comment": "A note of 5 pages",
  "journal": "Matematica Conteporanea, vol 17, (1999) 71-75",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We consider a solution f of a certain Dirichlet Problem on a domain in S^(n+1) whose boundary is a minimal hypersurface and we prove a Poincare type inequality for f. One have equality iff Yau's conjecture about the first non-zero eigenvalue of closed minimal hypersurfaces of S^(n+1) is true.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-22T14:51:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C42",
      "58C40"
    ],
    "keywords": [
      "first eigenvalue",
      "first non-zero eigenvalue",
      "poincare type inequality",
      "dirichlet problem",
      "yaus conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10493P"
    }
  }
}