Second order Lagrangian dynamics on double cross product groups
Yükleniyor...
Tarih
2021-02
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd order Euler–Lagrange equations on the 2nd order tangent group from the 1st order Euler–Lagrange equations on the iterated tangent group. We also present in detail the 2nd order Lagrangian dynamics on the 2nd order tangent group of a double cross product group.
Açıklama
Anahtar Kelimeler
Euler–Poincaré equation, Matched pairs of Lie groups, Second order tangent bundles
Kaynak
Journal of Geometry and Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
159
Sayı
Künye
Oğul, E., Kudeyt, M. & Sütlü, S. S. (2021). Second order Lagrangian dynamics on double cross product groups. Journal of Geometry and Physics, 159, 1-18. doi:10.1016/j.geomphys.2020.103934
