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arXiv · 2007.11662

Tulczyjew's Triplet with an Ehresmann connection I: Trivialization and Reduction

Oğul Esen·Mahmut Kudeyt·Serkan Sütlü
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Abstract

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 and reductions of iterated tangent and cotangent bundles $T^*TQ$, $TT^*Q$ and $T^*T^*Q$. Accordingly, the symplectomorphisms between these manifolds are properly trivialized and reduced.

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Oğul Esen, Mahmut Kudeyt, Serkan Sütlü. 2020-07-22. Tulczyjew's Triplet with an Ehresmann connection I: Trivialization and Reduction. https://arxiv.org/abs/2007.11662

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