thurston metric
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2020 ◽  
Vol 8 ◽  
Author(s):  
DAVID DUMAS ◽  
ANNA LENZHEN ◽  
KASRA RAFI ◽  
JING TAO

We study the geometry of the Thurston metric on the Teichmüller space of hyperbolic structures on a surface $S$ . Some of our results on the coarse geometry of this metric apply to arbitrary surfaces $S$ of finite type; however, we focus particular attention on the case where the surface is a once-punctured torus. In that case, our results provide a detailed picture of the infinitesimal, local, and global behavior of the geodesics of the Thurston metric, as well as an analogue of Royden’s theorem.







2015 ◽  
pp. 55-72
Author(s):  
Weixu Su
Keyword(s):  


2010 ◽  
Vol 20 (6) ◽  
pp. 1317-1353
Author(s):  
Martin Bridgeman ◽  
Richard D. Canary


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