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arXiv · 2207.08360

Minimal length of nonsimple closed geodesics on hyperbolic surfaces

Wujie Shen·Jiajun Wang
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Abstract

In the present paper, we show that the minimal length of closed geodesics on finite-type hyperbolic surfaces with self-intersection number $k$ has order $2\log k$ as $k$ gets large.

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Wujie Shen, Jiajun Wang. 2022-07-18. Minimal length of nonsimple closed geodesics on hyperbolic surfaces. https://arxiv.org/abs/2207.08360

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