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teichmüller distance

Proceedings of the London Mathematical Society (1)

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1 results

Teichmüller distance is not $C^{2+\varepsilon}$
Mary Rees
Journal:

Proceedings of the London Mathematical Society / Volume 88 / Issue 1 / January 2004

Published online by Cambridge University Press:

13 January 2004, pp. 114-134

Print publication:

January 2004
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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 $\liminf_{u \to 0} g(u)\log (1 / u)=0$.