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

• Autores: Mary Rees
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 88, Nº 1, 2004, págs. 114-134
• Idioma: inglés
• DOI: 10.1112/s0024611503014369
• Texto completo no disponible (Saber más ...)
• Resumen

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