On the proper conjugation of Kleinian groups

Shicheng Wang; Qing Zhou

doi:10.1007/BF01267639

On the proper conjugation of Kleinian groups

Shicheng Wang^*
, Qing Zhou

^*此作品的通讯作者

数学科学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

Suppose K ⊂ Iso Hⁿis a geometrically finite non-elementary Kleinian group or an elementary Kleinian group with two fixed points at infinity, and g ∈ Iso Hⁿis a Möbius transformation. Then gKg^-1 ⊂K implies that gKg^-1=K.

源语言	英语
页（从-至）	145-154
页数	10
期刊	Geometriae Dedicata
卷	56
期	2
DOI	https://doi.org/10.1007/BF01267639
出版状态	已出版 - 7月 1995

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title = "On the proper conjugation of Kleinian groups",

abstract = "Suppose K ⊂ Iso Hnis a geometrically finite non-elementary Kleinian group or an elementary Kleinian group with two fixed points at infinity, and g ∈ Iso Hnis a M{\"o}bius transformation. Then gKg-1 ⊂K implies that gKg-1=K.",

keywords = "Mathematics Subject Classification (1991): 30F40",

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AU - Wang, Shicheng

AU - Zhou, Qing

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N2 - Suppose K ⊂ Iso Hnis a geometrically finite non-elementary Kleinian group or an elementary Kleinian group with two fixed points at infinity, and g ∈ Iso Hnis a Möbius transformation. Then gKg-1 ⊂K implies that gKg-1=K.

AB - Suppose K ⊂ Iso Hnis a geometrically finite non-elementary Kleinian group or an elementary Kleinian group with two fixed points at infinity, and g ∈ Iso Hnis a Möbius transformation. Then gKg-1 ⊂K implies that gKg-1=K.

KW - Mathematics Subject Classification (1991): 30F40

UR - https://www.scopus.com/pages/publications/0009979782

U2 - 10.1007/BF01267639

DO - 10.1007/BF01267639

M3 - 文章

AN - SCOPUS:0009979782

SN - 0046-5755

VL - 56

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EP - 154

JO - Geometriae Dedicata

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ER -

On the proper conjugation of Kleinian groups

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