Geometric filling curves on surfaces

Ara Basmajian, Hugo Parlier, Juan Souto

Type: Article

Publication Date: 2017-05-23

Citations: 5

DOI: https://doi.org/10.1112/blms.12057

Abstract

This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic that $\varepsilon$-fills the surface.

Locations

Bulletin of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
DataCite API - View

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