{
  "id": "2310.12588",
  "version": "v1",
  "published": "2023-10-19T08:51:02.000Z",
  "updated": "2023-10-19T08:51:02.000Z",
  "title": "Sasakian geometry and Heisenberg groups",
  "authors": [
    "Indranil Biswas",
    "Hisashi Kasuya"
  ],
  "comment": "7 pages. arXiv admin note: text overlap with arXiv:2211.16713",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that a compact Sasakian manifolds whose first and second basic Chern classes vanish is locally isomorphic to the real Heisenberg group equipped with the standard left invariant Sasakian structure up to deformation associated to a basic $1$-from.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-19T08:51:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sasakian geometry",
      "standard left invariant sasakian structure",
      "compact sasakian manifolds",
      "real heisenberg group",
      "second basic chern classes vanish"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}