{
  "abstract": "By using non-abelian Hodge correspondence on compact Sasakian manifolds, we investigate analogous constructions of Hitchin sections of rank $2$ on $3$-dimensional compact Sasakian manifolds. We obtain canonical deformations of $\\widetilde{SL_{2}(\\R)}$-Sasakian structures giving a diffeomorphism from the vector space of basic quadratic differentials onto a connected component of the space of equivalent classes of sasakian structures of negative basic first Chern classes and topologically trivial CR structures equipped with an appropriate manifold structure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06919",
  "author_total": 1,
  "authors": [
    {
      "name": "Hisashi Kasuya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a19vrqtn220z0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06919",
  "fulltext_url": null,
  "id": "a19vrqtn220z0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06919",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7212039472",
  "pdf_url": "https://arxiv.org/pdf/2609.06919",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a19vrqtn220z0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.06919",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06919"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Hitchin sections on $3$-dimensional Sasakian manifolds",
  "title_text": "Hitchin sections on $3$-dimensional Sasakian manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/a19vrqtn220z0",
  "venue": "arXiv",
  "versions": []
}