Abstract
In the study of a geometrically finite kleinian group, the properties of points of approximation are discussed (see [2]). We show that ifG is a discrete subgroup ofU(1, n; C) acting on the complex unit ballB n, then a point of approximation ofG has similar properties as in a kleinian group. In the case wheren>-2, however, an approach to a point of approximation is not necessarily non-tangential. We shall give an example of a point of approximation to which some orbit converges in the tangential direction.
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Dedicated to Professor Nobuyuki Suita on his sixtieth birthday
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Kamiya, S. Remarks on points of approximation of discrete subgroups of U(1,n; C). Manuscripta Math 85, 299–306 (1994). https://doi.org/10.1007/BF02568200
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DOI: https://doi.org/10.1007/BF02568200