{
  "id": "math/0602233",
  "version": "v2",
  "published": "2006-02-10T23:45:09.000Z",
  "updated": "2007-01-22T17:43:36.000Z",
  "title": "Constructions in Sasakian Geometry",
  "authors": [
    "Charles P. Boyer",
    "Krzysztof Galicki",
    "Liviu Ornea"
  ],
  "comment": "Some minor errors corrected. References updated. To appear in Mathematische Zeitschrift",
  "journal": "Mathematische Zeitschrift 257 (2007), 907-924.",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "We describe various constructions in Sasakian geometry. First we generalize the join construction of the first two authors to arbitrary Sasakian manifolds. We then give several examples, including ones which prove the existence of Sasakian-Einstein metrics on manifolds homeomorphic to $S^2\\times S^5.$ Then we use a generalization of the join construction due to Lerman, namely contact fibre bundles, to give a theorem constructing toric Sasakian structures. Finally, we explicitly construct regular toric Sasakian structures on all simply connected regular contact manifolds in dimension five.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-22T17:43:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25"
    ],
    "keywords": [
      "sasakian geometry",
      "connected regular contact manifolds",
      "construct regular toric sasakian structures",
      "explicitly construct regular toric sasakian",
      "theorem constructing toric sasakian structures"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 719020,
      "adsabs": "2006math......2233B"
    }
  }
}