Commuting isometries of the complex hyperbolic space

Cao, Wensheng; Gongopadhyay, Krishnendu

doi:10.1090/S0002-9939-2011-10796-2

Commuting isometries of the complex hyperbolic space
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by Wensheng Cao and Krishnendu Gongopadhyay PDF

Proc. Amer. Math. Soc. 139 (2011), 3317-3326 Request permission

Abstract:

Let $H_{\mathbb {C}}^n$ denote the complex hyperbolic space of dimension $n$. The group $U(n,1)$ acts as the group of isometries of $H_{\mathbb {C}}^n$. 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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