On behavior of pairs of Teichm\"{u}ller geodesic rays
Geometric Topology
2013-04-19 v1
Abstract
In this paper, we obtain the explicit limit value of the Teichm\"{u}ller distance between two Teichm\"{u}ller geodesic rays which are determined by Jenkins-Strebel differentials having a common end point on the augmented Teichm\"{u}ller space. Furthermore, we also obtain a condition under which these two rays are asymptotic. This is similar to a result of Farb and Masur.
Keywords
Cite
@article{arxiv.1304.5027,
title = {On behavior of pairs of Teichm\"{u}ller geodesic rays},
author = {Masanori Amano},
journal= {arXiv preprint arXiv:1304.5027},
year = {2013}
}
Comments
25 pages, 2 figures