Geometric filling curves on surfaces
Geometric Topology
2017-05-31 v1 Differential Geometry
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 -fills the surface.
Cite
@article{arxiv.1610.08404,
title = {Geometric filling curves on surfaces},
author = {Ara Basmajian and Hugo Parlier and Juan Souto},
journal= {arXiv preprint arXiv:1610.08404},
year = {2017}
}
Comments
12 pages, 5 figures