Jørgensen’s inequality for quaternionic hyperbolic n-space
نویسنده
چکیده
Jørgensen’s inequality gives a necessary condition for a non-elementary two generator group of isometries of real hyperbolic 2-space to be discrete. We give analogues of Jørgensen’s inequality for non-elementary groups of isometries of quaternionic hyperbolic n-space generated by two elements, one of which is loxodromic. Mathematics Subject Classifications (2000): 20H10, 22E40, 57S30.
منابع مشابه
Jørgensen’s Inequality and Collars in n-dimensional Quaternionic Hyperbolic Space
In this paper, we obtain analogues of Jørgensen’s inequality for non-elementary groups of isometries of quaternionic hyperbolic n-space generated by two elements, one of which is loxodromic. Our result gives some improvement over earlier results of Kim [10] and Markham [15]. These results also apply to complex hyperbolic space and give improvements on results of Jiang, Kamiya and Parker [7]. As...
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تاریخ انتشار 2009