{
  "abstract": "We study the locally conformal geometry of cosymplectic and coorientable contact manifolds within a common algebraic framework based on a non-degenerate odd pair: a one-form and a two-form whose appropriate wedge product defines a nowhere-vanishing top-degree form on an odd-dimensional manifold. We consider conformally compatible local geometric and Hamiltonian data and encode their gluing through a closed Lee form and the Lichnerowicz-de Rham differential. For locally conformal cosymplectic geometry, we introduce an equal-weight formulation in which the defining forms carry the same conformal weight. This formulation allows compatible local Hamiltonian vector fields to glue directly into a global Hamiltonian vector field without additional rescaling, thereby preserving the local dynamics. For contact geometry, we develop a twisted odd-pair formulation in which the Lee form records the conformal gluing of local Hamiltonian data, while the global one-form remains an ordinary contact form. We illustrate these constructions through time-dependent mass dynamics in the cosymplectic setting and dissipative particle dynamics in the contact setting.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00982",
  "author_total": 3,
  "authors": [
    {
      "name": "Begüm Ateşli"
    },
    {
      "name": "Aybike Çatal-Özer"
    },
    {
      "name": "Oğul Esen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7er31teg2pvgr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00982",
  "fulltext_url": null,
  "id": "7er31teg2pvgr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00982",
  "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-ph"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00982",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7er31teg2pvgr.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00982",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00982"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Locally Conformal Analysis of Non-Degenerate Odd Pairs",
  "title_text": "Locally Conformal Analysis of Non-Degenerate Odd Pairs",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/7er31teg2pvgr",
  "venue": "arXiv",
  "versions": []
}