{
  "abstract": "Suppose $(M, g)$ is a smooth, closed, $5$-dimensional Riemannian manifold with positive Yamabe invariant $Y(M, [g]) > 0$ and positive Yamabe-type $Q$-curvature invariant $Y_{4}^{\\ast}(M, [g]) > 0$. Using the continuity method, we prove the existence of a metric in the conformal class $[g]$ with positive scalar curvature and positive $Q$-curvature, assuming an additional condition on an ``initial metric\" in the class $[g]$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28234",
  "author_total": 1,
  "authors": [
    {
      "name": "Ramesh Mete"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/25xd5d9zfpjva.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28234",
  "fulltext_url": null,
  "id": "25xd5d9zfpjva",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28234",
  "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",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7204840554",
  "pdf_url": "https://arxiv.org/pdf/2608.28234",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/25xd5d9zfpjva.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:28Z",
      "native_id": "2608.28234",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28234"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A note on the positivity of $Q$-curvature via the continuity method",
  "title_text": "A note on the positivity of Q-curvature via the continuity method",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/25xd5d9zfpjva",
  "venue": "arXiv",
  "versions": []
}