Commuting Isometries of the Complex Hyperbolic Space
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🧮 math.DG
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complexhyperbolicisometriesspacegroupactsalongcentralizers
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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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