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arXiv · 2412.18676

Bicycle tracks with hyperbolic monodromy -- results and conjectures

G. Bor·L. Hernández-Lamoneda·S. Tabachnikov
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Abstract

We find new necessary and sufficient conditions for the bicycling monodromy of a closed plane curve to be hyperbolic. Our main tool is the ``hyperbolic development" interpretation of the bicycling monodromy of plane curves. Based on computer experiments, we pose two conjectures concerning the bicycling monodromy of strictly convex closed plane curves.

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G. Bor, L. Hernández-Lamoneda, S. Tabachnikov. 2024-12-24. Bicycle tracks with hyperbolic monodromy -- results and conjectures. https://arxiv.org/abs/2412.18676

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