关于Kleinian群的水准极限集
On horospheric limit sets of Kleinian groups
摘要：
本文部分回答了P.Tukia关于Kleinian群的大水准极限集与水准极限集之差的大小的问题。主要研究了发散型Kleinian群的正规子群的情形，并利用这里得到的另一个结果：非初等Kleinian群的Myrberg极限集包含在任何非平凡正规子群的horospheric极限集中，证明了这种差是零共形测度的.
英文摘要：
In this paper we partially answer a question of P. Tukia about the size of the difference between the big horospheric limit set and the horospheric limit set of a Kleinian group. We mainly investigate the case of normal subgroups of Kleinian groups of divergence type and show that this difference is of zero conformal measure by using another result obtained here: the Myrberg limit set of a non-elementary Kleinian group is contained in the horospheric limit set of any non-trivial normal subgroup.
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