Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps

Abstract

We develop a reduction scheme à la Marsden-Weinstein-Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, neither to be preserved by the impact map. We illustrate the applicability of our theory with an example.

arXiv comment6 pages, to appear on the proceedings of the International Conference on Geometric Science of Information 2025 (GSI 25)

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