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Discreteness criteria based on a test map in $\mathrm{PU}\left(n,1\right)$. (English) Zbl 1270.30012
Summary: The discreteness of isometry groups in complex hyperbolic space is a fundamental problem. In this paper, discreteness criteria of a $n$-dimensional subgroup $G$ of $\mathrm{SU}\left(n,1\right)$ are investigated by using a test map which may not be in $G$.
MSC:
 30F35 Fuchsian groups and automorphic functions 20H10 Fuchsian groups and their generalizations (group theory)
References:
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