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关于万有Teichmüller空间T1的分支
ON THE COMPONENTS OF THE UNIVERSAL TEICHMULLER SPACE T1
【摘要】 对数导数或pre-SchwaLrz导数组成的万有Teichmtiller空间模型T1由无限个分支所组成。本文得到了分支Lθ的中心点到有界分支L的距离,同时也对分支Lθ与L的距离及L的中心点到Lθ的距离进行了估计。
【Abstract】 The model of the universal Teichmller space T1 by the derivatives of logarithm orpre-Schwaxzian derivatives is the union of infinite disconnected components. In this paper,the distance from the center of component Lθ to the bounded component L is obtained,and the distance from Lθ to L and distance between the center of component L to Lθ are estimated.
【关键词】 万有Teichmüller空间;
pre-Schwarz导数;
拟共形延拓;
【Key words】 Universal Teichmiiller space; Pre-Schwarzian derivative; Quasiconformal extension;
【Key words】 Universal Teichmiiller space; Pre-Schwarzian derivative; Quasiconformal extension;
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics,series A , 编辑部邮箱 ,2004年04期
- 【分类号】O172
- 【被引频次】6
- 【下载频次】64