On analytic properties of deformation spaces of Kleinian groups

On analytic properties of deformation spaces of Kleinian groups
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关于克莱因群变形空间的解析性质

DOI:
10.1090/tran/6563
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发表时间:
2016
期刊:
Trans. Amer. Math. Soc.
影响因子:
--
通讯作者:
H. Shiga
H. Shiga
中科院分区:
--
文献类型:
--
作者:
上野忠美;横山洋海;岩室史英;T. Oshima;降籏 大介;栗田光樹夫;H. Shiga

文献摘要

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Letbe a non-elementary Kleinian group. We consider the deformation space of, the space of quasiconformal deformations of, and its complex analytic properties. We show some analytic structures ofwhich are improvements of results by Bers, Kra, Maskit and McMullen. In particular, we clarify that the structures for Kleinian groups with non-simply connected components are different from those for Kleinian groups without non-simply connected components. References