Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles
Given a Lie group 𝐺, we elaborate the dynamics on 𝑇*𝑇*𝐺 and 𝑇*𝑇𝐺, which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew symplectic space 𝑇𝑇*𝐺, which may be defined by a Lagrangian or a Hamiltonian function. As the trivializations we adapted respect the group structures of the ite...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2021-01-01
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| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2021/1450-55842100009E.pdf |