{
  "abstract": "We prove a $C^\\infty$ analogue of the real-analytic quasi--Einstein lifting theorem of Hill, Lewandowski and Nurowski \\cite[Theorem~2.5]{HLN2008}. Every smooth, locally CR-embeddable, strictly pseudoconvex three-dimensional CR manifold admits, for each real cosmological constant, a local smooth Lorentzian quasi--Einstein lift whose null congruence is geodesic, shearfree and twisting and whose Weyl tensor has Petrov type~$\\mathrm{II}$ or $\\mathrm{D}$. The result extends local lifting beyond the Sasakian setting of the global constructions in \\cite{GSS2020} and the local results in \\cite{GGS2026}. The proof establishes smooth local solvability of the reduced semilinear contact equation by combining an $L^\\infty$ contraction with subelliptic regularity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24455",
  "author_total": 1,
  "authors": [
    {
      "name": "Masoud Ganji"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0k2wem5xmaam3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24455",
  "fulltext_url": null,
  "id": "0k2wem5xmaam3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24455",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3103|Advanced Differential Geometry Research"
    ]
  ],
  "openalex": "W7222994020",
  "pdf_url": "https://arxiv.org/pdf/2610.24455",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0k2wem5xmaam3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.24455",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24455"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Smooth Quasi--Einstein Lifts of Locally Embeddable Three-Dimensional CR Manifolds",
  "title_text": "Smooth Quasi--Einstein Lifts of Locally Embeddable Three-Dimensional CR Manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/0k2wem5xmaam3",
  "venue": "arXiv",
  "versions": []
}