摘要
在万有Teichmller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]∈LT1(△),h(△)相互不Mbius等价,它们到边界的距离均为1,而在万有Teichmller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Teichmller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 Teichmller space T1（△）, there are infinitely many [h] ∈ L■T1（△） such that h（△） are not Mbius 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 Teichmller 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 Teichmller space are also discussed.
出处
《中国科学：数学》
CSCD
北大核心
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
关键词
对数导数
SCHWARZ导数
单叶性内径
闭测地线
pre-Schwarzian derivative
Schwarzian derivative
inner radius of univalency
closed geodesic
