ALMOST ISOMETRIES BETWEEN TEICHMULLER SPACES

作者:Jiang, Manman*; Liu, Lixin; Pan, Huiping
来源:Annales Academiae Scientiarum Fennicae-Mathematica, 2018, 43(1): 365-380.
DOI:10.5186/aasfm.2018.4320

摘要

We prove that the Teichmfiller space of hyperbolic surfaces with given boundary lengths equipped with the arc metric (resp. the Teichmfiller metric) is almost isometric to the Teichmfiller space of punctured surfaces equipped with the Thurston metric (resp. the Teichmfiller metric).