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On the equivalence of extremal Teichmller mapping

On the equivalence of extremal Teichmller 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 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2009年第52卷第1期

页      面:77-86页

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主  题:Teichmuller space infinitesimal Teichmu¨ller space Strebel point 

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.

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