rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Autoparallels and the inverse problem of the calculus of variations
  name:
    name part: Heisenberg, Lavinia
    role:
      role term: creator
    role:
      role term: VerfasserIn
    role:
      role term: aut
  type of resource: text
  origin info:
    place:
      place term: xx
    date issued: 2026
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 9
  abstract: We prove that autoparallel curves associated with a torsion-free but not necessarily metric-compatible affine connection can be derived from an action principle. We explicitly construct the action functional and show by standard variational techniques that it produces the desired equations. Our analysis is based on systematically solving the inverse problem of the calculus of variation and the associated Helmholtz conditions. This demonstrates that the dynamics of autoparallels admit a consistent variational formulation even in the presence of non-metricity. Our results provide a variational framework for particle motion in metric-affine geometries and thereby contribute to the mathematical foundations of the geodesic principle in relativistic gravity.
  note: Lavinia Heisenberg
  note: Gesehen am 30.06.2026
  classification: 29
  related item:
    title info:
      title: Fortschritte der Physik
    name:
      name part: Autoparallels and the inverse problem of the calculus of variations
    origin info:
      publisher: Berlin : Wiley-VCH, 1953
    physical description:
      extent: Online-Ressource
    identifier: 1521-3978
    identifier: (DE-627)269532161
    identifier: (DE-600)1474757-1
    identifier: (DE-576)078707358
    part:
      text: 74(2026), 5 vom: Mai, Artikel-ID e70115, Seite 1-9
  related item:
    name:
      name part: Autoparallels and the inverse problem of the calculus of variations
    part:
      text: volume:74
    part:
      text: year:2026
    part:
      text: number:5
    part:
      text: month:05
    part:
      text: elocationid:e70115
    part:
      text: pages:1-9
    part:
      text: extent:9
  identifier: https://doi.org/10.1002/prop.70115
  identifier: https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.70115
  record info:
    record content source: DE-627
    record creation date: 260630
    record change date: 20260630091825.0
    record identifier: 1974413640
    language of cataloging:
      language term: ger