SOME GEOMETRIC PROPERTIES ON A MODEL OF UNIVERSAL TEICHMLLER SPACES 被引量：12

SOME GEOMETRIC PROPERTIES ON A MODE L OF UNIVERSAL TEICHMULLER SPACES

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摘要 The model of the universal Teichmller space by the derivatives of logarithm is the union of infinite disconnected components. In this paper, the fact that each component is not starlike with respect to its center is proved, and the outer radius of the space with respect to each center is obtained.

作者 CHENJIXIU] WEIHANBAI

机构地区 DepartmentofMathematicsandInstituteofMathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1997年第3期309-314,共6页 数学年刊（B辑英文版）

关键词 Universal Teichmller space Logarithmic derivative Quasiconformal extension 几何性质广义性 TEICHMULLER空间对数导数拟保角扩张

分类号 O174.51 [理学—基础数学]

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同被引文献34

1魏寒柏.关于万有Teichmüller空间T_1的分支[J].数学年刊（A辑）,2004,25(4):425-428. 被引量：4
2WANG ZHE.THE DISTANCE BETWEEN DIFFERENT COMPONENTS OF THE UNIVERSAL TEICHMULLER SPACE[J].Chinese Annals of Mathematics,Series B,2005,26(4):537-542. 被引量：8
3程涛,陈纪修.区域的对数导数单叶性内径[J].中国科学（A辑）,2007,37(4):504-512. 被引量：9
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引证文献12

1郭辉,冯小高,崔泽建.基于角域对数导数意义下区域的单叶性内径[J].深圳大学学报（理工版）,2008,25(4):437-440. 被引量：3
2魏寒柏.关于万有Teichmüller空间T_1的分支[J].数学年刊（A辑）,2004,25(4):425-428. 被引量：4
3WANG ZHE.THE DISTANCE BETWEEN DIFFERENT COMPONENTS OF THE UNIVERSAL TEICHMULLER SPACE[J].Chinese Annals of Mathematics,Series B,2005,26(4):537-542. 被引量：8
4魏寒柏.星形函数与万有Teichmüller空间的一个模型[J].数学的实践与认识,2006,36(3):236-239.
5程涛,陈纪修.区域的对数导数单叶性内径[J].中国科学（A辑）,2007,37(4):504-512. 被引量：9
6程涛,陈纪修.万有Teichmüller空间对数导数嵌入模型的一些性质[J].数学年刊（A辑）,2007,28(3):395-402. 被引量：1
7范金华.关于万有Teichmüller空间一个模型的几何性质(英文)[J].复旦学报（自然科学版）,2008,47(2):153-156.
8Tao CHENG,Yue Ming KANG,Ji Xiu CHEN.Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative[J].Acta Mathematica Sinica,English Series,2009,25(1):59-64. 被引量：3
9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.
10罗贤,杨宗信.正则区域的对数导数单叶性内径[J].江西师范大学学报（自然科学版）,2013,37(2):179-182.

二级引证文献17

1郭辉,冯小高,崔泽建.基于角域对数导数意义下区域的单叶性内径[J].深圳大学学报（理工版）,2008,25(4):437-440. 被引量：3
2程涛,陈纪修.万有Teichmüller空间对数导数嵌入模型的一些性质[J].数学年刊（A辑）,2007,28(3):395-402. 被引量：1
3范金华.关于万有Teichmüller空间一个模型的几何性质(英文)[J].复旦学报（自然科学版）,2008,47(2):153-156.
4康悦明,程涛,陈纪修.万有Teichmuller空间Pre-Schwarz导数模型及拟共形扩张[J].数学年刊（A辑）,2008,29(6):851-858.
5Tao CHENG,Yue Ming KANG,Ji Xiu CHEN.Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative[J].Acta Mathematica Sinica,English Series,2009,25(1):59-64. 被引量：3
6冯小高,崔泽建,郭辉.关于万有Teichmüller空间两个性质的简洁证明[J].西华师范大学学报（自然科学版）,2009,30(1):47-48. 被引量：3
7刘晓毅.两类外部区域的单叶性内径[J].常熟理工学院学报,2009,23(4):19-21. 被引量：1
8程涛,石艳.基于任意拟圆的对数导数意义下区域的单叶性内径[J].南昌大学学报（理科版）,2009,33(3):219-223. 被引量：1
9石艳,程涛.区域的Schwarz导数单叶性内径[J].江西师范大学学报（自然科学版）,2010,34(1):1-4.
10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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Chinese Annals of Mathematics,Series B

1997年第3期

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SOME GEOMETRIC PROPERTIES ON A MODEL OF UNIVERSAL TEICHMLLER SPACES 被引量：12

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