Almost isometries between Teichm\"uller spaces
Geometric Topology
2017-03-09 v1 Complex Variables
Metric Geometry
Abstract
We prove that the Teichm\"uller space of surfaces with given boundary lengths equipped with the arc metric (resp. the Teichm\"uller metric) is almost isometric to the Teichm\"uller space of punctured surfaces equipped with the Thurston metric (resp. the Teichm\"uller metric).
Keywords
Cite
@article{arxiv.1703.02687,
title = {Almost isometries between Teichm\"uller spaces},
author = {Manman Jiang and Lixin Liu and Huiping Pan},
journal= {arXiv preprint arXiv:1703.02687},
year = {2017}
}
Comments
20 pages, 5 figures. All comments are welcome!