紧线体上拟共形映射Teichmüller等价类的一个刻画

A Description of the Teichmüller Equivalent Quasi-Conformal Mapping Class on the Compact Solenoid

本文讨论了紧线体 的Teichmüller空间在标记紧线体意义下的表示,并且给出了两个拟共形映射 Teichmuller等价在其万有覆盖的极限集中的一个刻画,我们证明了两个拟共形映射具有相同的极限集映射值当且仅当它们是Teichmuller等价的。

Let be the compact solenoid. In the present article, we give a representation of the Teichmuller space of in the sense of being marked. Moreover, we give the description of the Teichmuller equivalence of quasi-conformal maps in the universal covering space of . We prove that two quasi-conformal maps have common value in the limit set if and only if they are Teichmüller equivalent.