Almost isometries between Teichm\'uller spaces

Autor:	Jiang, Manman, Liu, Lixin, Pan, Huiping
Rok vydání:	2017
Předmět:	Mathematics - Geometric Topology Mathematics - Complex Variables Mathematics - Metric Geometry 32G15 30F60 51F99
Druh dokumentu:	Working Paper
Popis:	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). Comment: 20 pages, 5 figures. All comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.02687 Zobrazit plný text záznamu View this record from Arxiv