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On the equivalence of extremal Teichmller mapping

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【Author】 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

【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.更多还原

【Abstract】 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.更多还原

【关键词】 Teichmuller space； infinitesimal Teichmu¨ller space； Strebel point；
【Key words】 Teichmuller space； infinitesimal Teichmu¨ller space； Strebel point；

【基金】 supported by the National Natural Science Foundation of China (Grant No. 10571028)

【文献出处】 Science in China(Series A:Mathematics) ,中国科学(A辑:数学)(英文版) , 编辑部邮箱 ,2009年01期

【分类号】O177
【被引频次】1
【下载频次】21

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