Commuting Isometries of the Complex Hyperbolic Space

preprint2010arXivOpen access

Let $H^n$ denote the complex hyperbolic space of dimension $n$ . The group $U(n,1)$ acts as the group of isometries of $H^n$ . In this paper we investigate when two isometries of the complex hyperbolic space commute. Along the way we determine the centralizers.

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Commuting Isometries of the Complex Hyperbolic Space

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