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arXiv · 2008.06906

Sprays and Dirac Structures

Esmaeil Azizpour·Ghazaleh Moazzami
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Abstract

We look at the the possibility of a spray having a Hamiltonian description considering Dirac structure as underlying geometric structure. In a simpler scenario, we consider almost Dirac structure as an auxiliary object to find constants of motion for sprays. Staring with the horizontal distribution associated to a spray, we use gauge transformations generated by two forms in order to obtain constants of motion and possible Hamiltonian description. We also apply our approach to semi-spray with some modifications.

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Esmaeil Azizpour, Ghazaleh Moazzami. 2020-08-16. Sprays and Dirac Structures. https://arxiv.org/abs/2008.06906

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