区域的对数导数单叶性内径  

The inner radius of univalency by pre-Schwarzian derivative

作　　者：张思汇[1] 陈纪修[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《中国科学：数学》2010年第10期951-958,共8页Scientia Sinica：Mathematica

基　　金：国家自然科学基金(批准号:10871047);复旦大学第九批研究生创新基金(批准号:EYH1411041)资助项目

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.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.

关 键 词：对数导数 SCHWARZ导数 单叶性内径 闭测地线 

分 类 号：O174.55[理学—数学]