Isometries of Teichmüller spaces from the point of view of Mostow rigidity

2001 ◽  
pp. 131-149 ◽  
Author(s):  
Nikolai V. Ivanov
Keyword(s):  
Point Of View ◽  
Teichmüller Spaces ◽  
Teichmuller Spaces ◽  
Mostow Rigidity

On Ruelle’s property

2021 ◽  
pp. 1-13
Author(s):  
SHENGJIN HUO ◽  
MICHEL ZINSMEISTER
Keyword(s):  
Fuchsian Group ◽  
Fuchsian Groups ◽  
Finitely Generated ◽  
Teichmüller Spaces ◽  
Teichmuller Spaces ◽  
Negative Results ◽  
Convergence Type ◽  
Mostow Rigidity

Abstract In this paper we investigate the range of validity of Ruelle’s property. First, we show that every finitely generated Fuchsian group has Ruelle’s property. We also prove the existence of an infinitely generated Fuchsian group satisfying Ruelle’s property. Concerning the negative results, we first generalize Astala and Zinsmeister’s results [Mostow rigidity and Fuchsian groups. C. R. Math. Acad. Sci. Paris311 (1990), 301–306; Teichmüller spaces and BMOA. Math. Ann.289 (1991), 613–625] by proving that all convergence-type Fuchsian groups of the first kind fail to have Ruelle’s property. Finally, we give some results about second-kind Fuchsian groups.

Holomorphic Motions and Teichmuller Spaces

1994 ◽  
Vol 343 (2) ◽  
pp. 927 ◽  
Author(s):  
C. J. Earle ◽  
I. Kra ◽  
S. L. Krushkal'
Keyword(s):  
Teichmüller Spaces ◽  
Holomorphic Motions ◽  
Teichmuller Spaces

scholarly journals The inner radii of finite-dimensional Teichmüller spaces

1989 ◽  
Vol 41 (4) ◽  
pp. 679-688 ◽  
Author(s):  
Toshihiro Nakanishi
Keyword(s):  
Teichmüller Spaces ◽  
Teichmuller Spaces ◽  
Finite Dimensional

scholarly journals Universal Teichmüller spaces and F(p,q,s) space

2017 ◽  
Vol 42 ◽  
pp. 105-118 ◽  
Author(s):  
Xiaogao Feng ◽  
Shengjin Huo ◽  
Shuan Tang
Keyword(s):  
Teichmüller Spaces ◽  
Teichmuller Spaces
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