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

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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Veröffentlicht in:Glasgow mathematical journal 2005-05, Vol.47 (2), p.373-378
Hauptverfasser: WANG, XIANTAO, LI, YONGQUN, XIA, MAOHUI
Format: Artikel
Sprache:eng
Schlagworte:
20H10
30F40
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Zusammenfassung: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.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089505002600