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Tulczyjew's Triplet with an Ehresmann connection I: Trivialization and Reduction
Oğul Esen, Mahmut Kudeyt, Serkan Sütlü
We study the trivialization and the reduction of the Tulczyjew's triplet, in the presence of a symmetry and an Ehresmann connection associated to it. We thus obtain trivializations…
math-ph2019
Second Order Lagrangian Dynamics On Double Cross Product Groups
Oğul Esen, Mahmut Kudeyt, Serkan Sütlü
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. Base…