A Combinatorial Model for the Teichmuller Metric
几何拓扑
2007-05-23 v1
摘要
We study how the length and the twisting parameter of a curve change along a Teichmuller geodesic. We then use our results to provide a formula for the Teichmuller distance between two hyperbolic metrics on a surface, in terms of the combinatorial complexity of curves of bounded lengths in these two metrics.
引用
@article{arxiv.math/0509584,
title = {A Combinatorial Model for the Teichmuller Metric},
author = {Kasra Rafi},
journal= {arXiv preprint arXiv:math/0509584},
year = {2007}
}
备注
21 pages