Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles

DOI10.2298/tam210312009earXiv2102.10807OpenAlexW3214981113WikidataQ115229779 ScholiaQ115229779MaRDI QIDQ6193887

Oğul Esen, Hasan Gümral, Serkan Sütlü

Publication date: 14 February 2024

Published in: Theoretical and Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.10807

zbMATH Keywords

Euler-Poincaré equationsLie-Poisson equationshigher order dynamics on Lie groups

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

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