{
  "id": "math/0402141",
  "version": "v1",
  "published": "2004-02-09T16:16:10.000Z",
  "updated": "2004-02-09T16:16:10.000Z",
  "title": "Einstein metrics on connected sums of $S^2\\times S^3$",
  "authors": [
    "János Kollár"
  ],
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "The aim of this paper is to construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of $S^2\\times S^3$. We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A K\\\"ahler--Einstein metric on the Del Pezzo orbifold is then lifted to an Einstein metric using the Kobayashi--Boyer--Galicki method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-09T16:16:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "32Q20",
      "14J26"
    ],
    "keywords": [
      "einstein metric",
      "connected sums",
      "del pezzo orbifold",
      "seifert bundles",
      "total spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2141K"
    }
  }
}