THE DISCRETENESS OF THE NORMALIZERS OF HIGHER DIMENSIONAL KLEINIAN GROUPS AND THE ISOMORPHISMS BETWEEN KLEINIAN GROUPS INDUCED BY QUASICONFORMAL MAPPINGS

In this paper, we get a necessary and sufficient condition for the normalizers of higher dimensional Kleinian groups to be discrete. Also we obtain a necessary and sufficient condition for the isomorphisms between two higher dimensional Kleinian groups induced by quasiconformal mappings to be the sa...

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Bibliographic Details
Published inGlasgow mathematical journal Vol. 47; no. 2; pp. 373 - 378
Main Authors WANG, XIANTAO, LI, YONGQUN, XIA, MAOHUI
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.05.2005
Subjects
20H10
30F40
30F40
20H10
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Summary:In this paper, we get a necessary and sufficient condition for the normalizers of higher dimensional Kleinian groups to be discrete. Also we obtain a necessary and sufficient condition for the isomorphisms between two higher dimensional Kleinian groups induced by quasiconformal mappings to be the same.
Bibliography:ark:/67375/6GQ-HL59B8FZ-1
istex:E7D573DC81D3555325A22DF52F15CDDFE4E6F41D
PII:S0017089505002600
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089505002600