Discreteness criterions of isometric subgroups for quaternionic hyperbolic space

被引：7
|
作者：
Kim, D [1 ]
机构：
[1] Seoul Natl Univ, Sch Math Sci, Seoul 151747, South Korea
来源：
GEOMETRIAE DEDICATA | 2004年 / 106卷 / 01期
关键词：
discrete group; quaternionic hyperbolic;
D O I：
10.1023/B:GEOM.0000033842.14743.9d
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give analogue of Jorgensen's inequality for nonelementary groups of isometries of complex hyperbolic 2-space generated by two elements, one of which is either loxodromic or boundary elliptic for the same group of isometries of quaternionic hyperbolic 2-space. And we give a sufficient condition for a nonelementary subgroup of isometries of quaternionic hyperbolic 2-space generated by two elements one of which is parabolic not to be discrete.
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收藏
页码：51 / 78
页数：28
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