A conjecture of the length spectrum of Riemann surface (Q1814850)

In Ann. Acad. Sci. Fenn. Ser. A I 526, 1-31 (1972; Zbl 0249.30020), \textit{T. Sorvali} introduced the dilatation metric \(d\) in the Teichmüller space \(T_g\) of marked Riemann surfaces of genus \(g\) and posed the question whether it was topological equivalent to the usual Teichmüller metric \(d_T\). He proved that \(d\leq d_T\). In Sci. Sin., Ser. A 29, 265-274 (1986; Zbl 0588.30044), \textit{Li Zhong} showed that this is the case and conjectured that \(d_T=2d\). In this paper the author proves that there is no constant \(a\) such that \(d_T=ad\).