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New integrable examples of Minkowski billiards

Find new integrable examples of Minkowski billiards beyond the Euclidean case.

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Background

While there are rigidity results under symmetry and total integrability hypotheses, the landscape of integrable Minkowski billiards is still largely unexplored.

The authors call for new examples to broaden understanding of integrability in non-Euclidean billiards.

References

In this section we formulate natural open questions related to the results discussed in previous sections. (2) Find new integrable examples of Minkowski billiards.

— Integrable Billiards and Related Topics (2510.03790 - Bialy et al., 4 Oct 2025) in Section 9 (Open questions), Subsection Minkowski billiards, item (2)