摘要
LET[μ] be a point in a Teichmuller space T（Γ） and [μ]≠[0]. When T（Γ） is finite-di-mensional, the extremal Beltrami differential in [μ]is unique and the geodesic segment α:[tμ<sub>0</sub>] （0≤t≤1） is the unique geodesic segment joining [0] and [μ], where μ<sub>0</sub> is the uniqueextremal Beltrami differential in [μ]. However, when T（Γ） is infinite-dimensional, [μ]
