{
  "abstract": "We develop a geometric framework for conservative mechanical systems modeled on conic pseudo-Finslerian manifolds, extending classical Riemannian and semi-Riemannian mechanics to anisotropic geometries. In this setting, we define a Jacobi-type pseudo-Finslerian metric and demonstrate that motions of fixed energy correspond, up to reparametrization, to its geodesics. We establish energy and momentum conservation under suitable symmetry assumptions via a generalized Noether's theorem, and provide new analytical criteria for the completeness of both the Jacobi metric and the mechanical system. Furthermore, for mechanical systems with holonomic and non-holonomic constraints, we prove the existence and uniqueness of reaction forces satisfying d'Alembert's principle. These results provide a unified geometric foundation for constrained and unconstrained anisotropic dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03909",
  "author_total": 2,
  "authors": [
    {
      "name": "Benigno Oliveira Alves"
    },
    {
      "name": "Glaene S. S. Mendonça"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ca4x0604r6tzq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03909",
  "fulltext_url": null,
  "id": "ca4x0604r6tzq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03909",
  "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",
      "3103|Advanced Differential Geometry Research"
    ]
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  "openalex": "W7208751626",
  "pdf_url": "https://arxiv.org/pdf/2609.03909",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ca4x0604r6tzq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.03909",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03909"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Conic Pseudo-Finslerian Mechanical Systems",
  "title_text": "Conic Pseudo-Finslerian Mechanical Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/ca4x0604r6tzq",
  "venue": "arXiv",
  "versions": []
}