{
  "abstract": "The reduction of mechanical presymplectic structures and its application to the reduction of time-dependent Hamiltonian systems were developed in a recent paper (Gutiérrez Sagredo et al, 2025). This approach overcomes some limitations of the original Albert reduction (Albert, 1989). In this paper we will describe the reduction of time-dependent Hamiltonian systems using the extended formalism. This process combines cotangent bundle reduction with reduction of presymplectic structures of corank 1 and 2. These results generalize previous work (Lacirasella et al, 2012), in the same direction. Several examples will be presented to illustrate the theory from this new perspective.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28278",
  "author_total": 4,
  "authors": [
    {
      "name": "C. Benítez"
    },
    {
      "name": "D. Iglesias Ponte"
    },
    {
      "name": "J. C. Marrero"
    },
    {
      "name": "E. Padrón"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9degszg9x3n5d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28278",
  "fulltext_url": null,
  "id": "9degszg9x3n5d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28278",
  "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-ph"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "3103|Advanced Differential Geometry Research"
    ]
  ],
  "openalex": "W7204763028",
  "pdf_url": "https://arxiv.org/pdf/2608.28278",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9degszg9x3n5d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2608.28278",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28278"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Reduction of symmetric time-dependent Hamiltonian systems I: presymplectic principal $\\mathbb{R}$-bundles",
  "title_text": "Reduction of symmetric time-dependent Hamiltonian systems I: presymplectic principal ℝ-bundles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/9degszg9x3n5d",
  "venue": "arXiv",
  "versions": []
}