The Carathéodory metric on Teichmüller space of genus two surface

Kejie Lin, Weixu Su

Let $\Tei_{g,n}$ be the Teichmüller space of Riemann surfaces of genus $g$ with $n$ punctures. It is conjectured that the Teichmüller and Carathéodory metrics agree on a TeichmÅ