Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction
Yükleniyor...
Tarih
2023-03-30
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
The authors acknowledge also the support by TUBITAK (the Scientific and Technological Research Council of Turkey) 2218, National Post-Doctoral Research Fellowship Program.
Anahtar Kelimeler
Tulczyjew's triplet, Hamiltonian reduction, Lagrangian reduction, Ehresmann connection, Lagrangian submanifolds, Hamiltonian-structure, Lie, Dynamics, Geometry, Poisson, Formalisms, Mechanics, Systems, Lifts
Kaynak
International Journal Of Geometric Methods In Modern Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
20
Sayı
4
Künye
Esen, O., Kudeyt, M. & Sütlü, S. (2022). Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction. International Journal Of Geometric Methods In Modern Physics. 20(4), doi:10.1142/S0219887823500597
