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arXiv · 1008.2400

Geometry, topology and dynamics of geodesic flows on noncompact polygonal surfaces

Eugene Gutkin
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Abstract

We establish the background for the study of geodesics on noncompact polygonal surfaces. For illustration, we study the recurrence of geodesics on $Z$-periodic polygonal surfaces. We prove, in particular, that almost all geodesics on a topologically typical $Z$-periodic surface with boundary are recurrent.

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Eugene Gutkin. 2010-08-13. Geometry, topology and dynamics of geodesic flows on noncompact polygonal surfaces. https://doi.org/10.1134/s1560354710040064

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