On the equivalence of extremal Teichmller mapping  

作　　者：FAN JinHua1 & CHEN JiXiu2 1 Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China 2 School of Mathematical Sciences, Fudan University, Shanghai 200433, China 

出　　处：《Science China Mathematics》2009年第1期77-86,共10页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 10571028)

摘　　要：Let T(△) and B(△) be the Teichmuller space and the infinitesimal Teichmuller space of the unit disk △ respectively. In this paper, we show that [ν]B(△) being an infinitesimal Strebel point does not imply that [ν]T(△) is a Strebel point, vice versa. As an application of our results, problems proposed by Yao are solved.Let T(△) and B(△) be the Teichmuller space and the infinitesimal Teichmuller space of the unit disk △ respectively. In this paper, we show that [ν]B(△) being an infinitesimal Strebel point does not imply that [ν]T(△) is a Strebel point, vice versa. As an application of our results, problems proposed by Yao are solved.

关 键 词：Teichmuller SPACE INFINITESIMAL Teichmu¨ller SPACE Strebel POINT 

分 类 号：O177[理学—数学]