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Geometric filling curves on punctured surfaces
Published online by Cambridge University Press: 15 December 2022
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.
MSC classification
- Type
- Research Article
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- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
Footnotes
Research supported by FNR PRIDE15/10949314/GSM.