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math-ph2020
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-ph2020
Matched pair analysis of the Vlasov plasma
Oğul Esen, Serkan Sütlü
We present the Hamiltonian (Lie-Poisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these…