关于万有Teichmüller空间一个模型的几何性质(英文)  

On Geometric Properties of a Model of Universal Teichmüller Space

作　　者：范金华[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《复旦学报（自然科学版）》2008年第2期153-156,共4页Journal of Fudan University：Natural Science

基　　金：Supported by National Natural Science Foundation of China(10571028)

摘　　要：万有Teichmüller空间在对数导数模型下是由无穷多个不相交的连通分支组成的.对于每个连通分支,证明了连接某些点对的测地线的不惟一性以及一些球关于测地线是不严格凸的性质.It is known that the model of the universal Teichmuller space by the logarithmic derivatives is the union of infinite many disconnected components. In each component, the facts that non-uniqueness of geodesics connecting some pair of points and non-strictly convexity of some balls with respect to geodesics are proved.

关 键 词：万有TEICHMÜLLER空间 对数导数 拟共形延拓 

分 类 号：O174.5[理学—数学]