Proc. London Math. Soc.
Abstract of Paper PLMS 1436

Mary Rees

Teichmüller distance is not $C^{2 + \epsilon}$

The Teichmüller space of a finite-type surface is considered. It is shown that Teichmüller distance is not $C^{2 + \epsilon }$ for any $\epsilon > 0$. Furthermore, Teichmüller distance is not $C^{2 + g}$ for any gauge function $g$ with $\liminf_{u \to 0} g(u)\log (1 / u)=0$.

2000 Mathematical Subject Classification: 30F60.

Keywords: Teichmüller space, Teichmüller distance.

E-mail:
maryrees@liv.ac.uk


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