{
  "id": "2309.05544",
  "version": "v1",
  "published": "2023-09-11T15:31:14.000Z",
  "updated": "2023-09-11T15:31:14.000Z",
  "title": "Sasakian Geometry on Sphere Bundles II: Constant Scalar Curvature",
  "authors": [
    "Charles P. Boyer",
    "Christina W. Tønnesen-Friedman"
  ],
  "comment": "25 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In a previous paper [BTF21] the authors employed the fiber join construction of Yamazaki [Yam99] together with the admissible construction of Apostolov, Calderbank, Gauduchon, and T{\\o}nnesen-Friedman [ACGTF08a] to construct new extremal Sasaki metrics on odd dimensional sphere bundles over smooth projective algebraic varieties. In the present paper we continue this study by applying a recent existence theorem [BHLTF23] that shows that under certain conditions one can always obtain a constant scalar curvature Sasaki metric in the Sasaki cone. Moreover, we explicitly describe this construction for certain sphere bundles of dimension 5 and 7.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-11T15:31:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D42"
    ],
    "keywords": [
      "sasakian geometry",
      "constant scalar curvature sasaki metric",
      "odd dimensional sphere bundles",
      "extremal sasaki metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}