【摘要】 在万有Teichmller空间的对数导数嵌入模型T1(△)中,我们证明了存在无穷多个点[h]∈LT1(△),h(△)相互不Mbius等价,它们到边界的距离均为1,而在万有Teichmller空间的Schwarz导数嵌入模型T(△)中,只有一个点Sid具有类似性质.论文还得到了万有Teichmller空间两类嵌入模型的测地线的一些新的性质.更多还原

【Abstract】 In this paper, we find that in the pre-Schwarzian derivative embedding model of universal Teichmller space T1(△), there are infinitely many [h] ∈ L■T1(△) such that h(△) are not Mbius equivalent to each other and the distance from each point [h] to the boundary of T1(△) is equal to 1, while in the Schwarzian derivative embedding model of universal Teichmller space, only Sid has the analogous property. Some other properties of the Schwarzian derivative embedding model and the pre-Schwarzian derivative embedding model of universal Teichmller space are also discussed.更多还原