The Apollonian Metric in Iwasawa Groups
نویسنده
چکیده
We introduce the apollonian metric in Carnot groups using capacity. Extending Beardon’s result for euclidean space, we give an equivalent definition using the cross ratio in Iwasawa groups. We also show that the apollonian metric is bounded above by twice the quasihyperbolic metric in domains in Iwasawa groups.
منابع مشابه
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تاریخ انتشار 2005