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