| 万有Teichmuller空间各分支边界点的一些几何性质 |
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| 引用本文： | 冯小高.万有Teichmuller空间各分支边界点的一些几何性质[J].纯粹数学与应用数学,2010,26(5):792-797. |
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| 作者姓名： | 冯小高 |
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| 作者单位： | 西华师范大学数学与信息学院,四川,南充,637002 |
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| 基金项目： | 国家自然科学基金，西华师范大学科研基金 |
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| 摘 要： | 在对数导数意义下,万有Teichmuller空间T1可表示为无穷多个互不相交的连通分支的并集.本文研究了该模型各分支的几何性质,给出了为e-iθ/（1-e-iθz）为L和Le的公共边界点,且在‖·‖1的意义下,证明了L,L0,Lθ两两公共边界点之间的距离均为2.
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| 关 键 词： | 万有Teichmuller空间 Schwarz导数 对数导数 拟共形延拓 |
Some geometric properties of the common boundary of components of Teichmuller space |
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| FENG Xiao-gao.Some geometric properties of the common boundary of components of Teichmuller space[J].Pure and Applied Mathematics,2010,26(5):792-797. |
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| Authors: | FENG Xiao-gao |
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| Institution: | FENG Xiao-gao(College of Mathmatics and Information,China West Normal University,Nanchong 637002,China) |
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| Abstract: | The model of the universal Teichmuller space T1 by the derivative of logarithm is the union of infinitely many disconnected components. In this paper, the geometric property of the boundary of T1 is investigated and it is obtained that e^-iθ/（1-e-iθz） ∈ L∩ Lθ . In addition, by ‖·‖1 it is proved that the distance between the boundary of T1 is 2. |
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| Keywords: | universal Teichumuller space Schwarizian derivative pre-Schwarizian derivative qusi-conformal extension |
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