{
  "abstract": "Let $M$ be a smooth manifold equipped with a para-Kähler structure. We define an action of the diffeomorphism group $\\operatorname{Diff}(M)$ on the space of para-Kähler structures and prove that this action preserves the associated affine structures. Although this result is well known, we provide a proof based on this action, showing in particular that an isometry commutes with the Levi--Civita connection. We then construct several natural liftings of this action to the tangent bundle $TM$, the cotangent bundle $T^*M$, and the Whitney sum $E=TM\\oplus T^*M$. In certain cases, these lifted actions induce natural dynamical systems on a distinguished class of $3$-webs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03573",
  "author_total": 4,
  "authors": [
    {
      "name": "Bertuel Tangue Ndawa"
    },
    {
      "name": "Ferdinand Ngakeu"
    },
    {
      "name": "Nasser Saipele Nansidi"
    },
    {
      "name": "Thomas Bouetou Bouetou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/50ts6fc411r21.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03573",
  "fulltext_url": null,
  "id": "50ts6fc411r21",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03573",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7208759354",
  "pdf_url": "https://arxiv.org/pdf/2609.03573",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/50ts6fc411r21.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.03573",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03573"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Diffeomorphism Group Actions on Para-Kähler Structures: Lifts and Induced Dynamics on 3-Webs",
  "title_text": "Diffeomorphism Group Actions on Para-Kähler Structures: Lifts and Induced Dynamics on 3-Webs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/50ts6fc411r21",
  "venue": "arXiv",
  "versions": []
}