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arXiv · 2012.02461

Geometric filling curves on punctured surfaces

Nhat Minh Doan
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Abstract

This paper is about a type of quantitative density of closed geodesics and orthogeodesics on complete finite-area hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic and the shortest doubly truncated orthogeodesic that are $\varepsilon$-dense on a given compact set on the surface.

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Nhat Minh Doan. 2023-06-23. Geometric filling curves on punctured surfaces. https://doi.org/10.1017/s0017089522000404

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