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

^*Corresponding author for this work

School of Mathematical Sciences

Peking University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 Möbius transformation. Then gKg^-1 ⊂K implies that gKg^-1=K.

Original language	English
Pages (from-to)	145-154
Number of pages	10
Journal	Geometriae Dedicata
Volume	56
Issue number	2
DOIs	https://doi.org/10.1007/BF01267639
State	Published - Jul 1995

Keywords

Mathematics Subject Classification (1991): 30F40

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10.1007/BF01267639

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@article{a1041678c2654ff7a08ff78c20c7a44f,

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",

author = "Shicheng Wang and Qing Zhou",

year = "1995",

month = jul,

doi = "10.1007/BF01267639",

language = "英语",

volume = "56",

pages = "145--154",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "2",

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TY - JOUR

T1 - On the proper conjugation of Kleinian groups

AU - Wang, Shicheng

AU - Zhou, Qing

PY - 1995/7

Y1 - 1995/7

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

SP - 145

EP - 154

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 2

ER -

On the proper conjugation of Kleinian groups

Abstract

Keywords

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