CAT(-1)-Type Properties for Teichm\"uller Space
Geometric Topology
2018-09-05 v2
Abstract
We show that if Teichm\"uller geodesics spend enough time in the thick part of moduli space, they display CAT(-1)-type properties. In particular, they exponentially contract along strongly stable leaves. As an application we prove two closing lemmas.
Keywords
Cite
@article{arxiv.1808.10022,
title = {CAT(-1)-Type Properties for Teichm\"uller Space},
author = {Ian Frankel},
journal= {arXiv preprint arXiv:1808.10022},
year = {2018}
}
Comments
Reference added