Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction

Creative Commons License

Esen O., Kudeyt M., Sütlü S.

International Journal of Geometric Methods in Modern Physics, vol.20, no.4, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1142/s0219887823500597
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Tulczyjew's triplet, Hamiltonian reduction, Lagrangian reduction, Ehresmann connection, LAGRANGIAN SUBMANIFOLDS, HAMILTONIAN-STRUCTURE, LIE, DYNAMICS, GEOMETRY, POISSON, FORMALISMS, MECHANICS, SYSTEMS, LIFTS
  • Kocaeli University Affiliated: No

Abstract

© 2023 World Scientific Publishing Company.We study the trivialization and the reduction of Tulczyjew's triplet, in the presence of a symmetry and an Ehresmann connection associated to it. We thus establish a geometric pathway for the Legendre transformations on singular dynamical systems.