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arXiv · 2403.19960

A note on density of geodesics

J. Beck·W. W. L. Chen·Y. Yang
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Abstract

We extend the famous result of Katok and Zemlyakov on the density of half-infinite geodesics on finite flat rational surfaces to half-infinite geodesics on a finite polycube translation $3$-manifold. We also extend this original result to establish a weak uniformity statement.

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J. Beck, W. W. L. Chen, Y. Yang. 2024-03-29. A note on density of geodesics. https://arxiv.org/abs/2403.19960

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