Riemann mappings of invariant components of Kleinian groups

Riemann mappings of invariant components of Kleinian groups
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DOI:
10.1112/jlms/jdp052
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发表时间:
2009-12
期刊:
Journal of the London Mathematical Society
影响因子:
--
通讯作者:
H. Shiga
H. Shiga
中科院分区:
其他
文献类型:
--
作者:
H. Shiga

文献摘要

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在本文中,我们将研究克莱因群的简单连通不变分量的黎曼映射的复杂解析性质。特别是,我们考虑黎曼映射导数的增长来理解克莱因群,即准福克斯群、正则 b 群和具有有界几何的克莱因群。
In this paper, we shall investigate complex analytic properties of Riemann mappings of simply connected invariant components of Kleinian groups. In particular, we consider the growth of the derivatives of Riemann mappings to understand Kleinian groups that are quasi‐Fuchsian groups, regular b‐groups and Kleinian groups with bounded geometry.