On Teichmüller space of circle diffeomorphisms with Hölder continuous derivative

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Shuan Tang ◽  
Pengcheng Wu
Keyword(s):  
Teichmüller Space ◽  
Continuous Derivative ◽  
Teichmuller Space ◽  
Hölder Continuous ◽  
Circle Diffeomorphisms

scholarly journals The geometry of measured geodesic laminations and measured train tracks

1989 ◽  
Vol 9 (3) ◽  
pp. 587-604 ◽  
Author(s):  
Howard Weiss
Keyword(s):  
Riemann Surface ◽  
Linear Model ◽  
Tangent Space ◽  
Teichmüller Space ◽  
Teichmuller Space ◽  
Hölder Continuous ◽  
Geodesic Laminations ◽  
Non Linear ◽  
Train Tracks ◽  
Hyperbolic Riemann Surface

AbstractThurston and Kerckhoff have shown that the space of measured geodesic laminations on a hyperbolic Riemann surface serves as a non-linear model of the tangent space to Teichmüller space at the surface. In this paper we show that the natural map between these manifolds has stronger than Hölder continuous regularity.

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