Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction
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Date
2023
Authors
Kudeyt, Mahmut
Kudeyt, Mahmut
Sutlu, Serkan
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Publisher
World Scientific Publ Co Pte Ltd
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Abstract
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.
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Keywords
Lagrangian Submanifolds, Hamiltonian-Structure, Lie, Dynamics, Geometry, Poisson, Formalisms, Mechanics, Systems, Lifts, Lagrangian Submanifolds, Hamiltonian-Structure, Lie, Dynamics, Geometry, Poisson, Formalisms, Tulczyjew's triplet, Mechanics, Hamiltonian reduction, Systems, Lagrangian reduction, Lifts, Ehresmann connection
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Citation
0
WoS Q
N/A
Scopus Q
Q2
Source
International Journal of Geometric Methods in Modern Physics
Volume
20
Issue
4