On Thurston's Stretch Lines in Teichm\"uller Space
Geometric Topology
2018-05-01 v1
Abstract
The Teichm\"uller space of a surface is equipped with Thurston's asymmetric metric. Stretch lines are oriented geodesics for this metric on . We give the asymptotic behavior of the lengths of the measured geodesic laminations as one follows a stretch line in the positive direction.
Cite
@article{arxiv.1804.11245,
title = {On Thurston's Stretch Lines in Teichm\"uller Space},
author = {Guillaume Théret},
journal= {arXiv preprint arXiv:1804.11245},
year = {2018}
}