Quasiconformal mappings of Y-pieces
Quasiconformal mappings of Y-pieces
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DOI：
10.4171/rmi/330
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发表时间：
2002-12
影响因子：
1.2
通讯作者：
C. Bishop
中科院分区：
文献类型：
--
作者：
C. Bishop
本文构造了y块间的拟共形映射，使得相应的贝尔特拉米系数在离边界处呈指数衰减。利用这些映射构造了其极限集为维数为1的不可整流曲线的拟fuchsian群。
In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.