Vertical Limits of Graph Domains
Complex Variables
2014-09-22 v1
Abstract
We consider the limiting behavior of Teichm\"uller geodesics in the universal Teichm\"uller space . Our main result states that the limits of the Teichm\"uller geodesics in the Thurston's boundary of may depend on both vertical and horizontal foliation of the corresponding holomorphic quadratic differential.
Keywords
Cite
@article{arxiv.1409.5513,
title = {Vertical Limits of Graph Domains},
author = {Hrant Hakobyan and Dragomir Saric},
journal= {arXiv preprint arXiv:1409.5513},
year = {2014}
}