{
  "id": "math/0108113",
  "version": "v1",
  "published": "2001-08-16T17:21:16.000Z",
  "updated": "2001-08-16T17:21:16.000Z",
  "title": "Einstein Metrics on Rational Homology 7-Spheres",
  "authors": [
    "Charles P. Boyer",
    "Krzysztof Galicki",
    "Michael Nakamaye"
  ],
  "comment": "19 pages",
  "journal": "Ann Inst. Fourier, 52 (2002), 1569-1584.",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2-connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-16T17:21:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53C12",
      "14E30"
    ],
    "keywords": [
      "einstein metrics",
      "admit regular positive sasakian structures",
      "first non-regular examples",
      "simply connected rational homology spheres"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8113B"
    }
  }
}