Geometric filling curves on punctured surfaces

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 $\epsilon$-dense on a given compact set on the surface.

20 pages,12 figures

References in corpus (1)

• Geometric filling curves on surfaces