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arXiv · 1002.2479

Commuting Isometries of the Complex Hyperbolic Space

Wensheng Cao·Krishnendu Gongopadhyay
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Abstract

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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Wensheng Cao, Krishnendu Gongopadhyay. 2010-09-14. Commuting Isometries of the Complex Hyperbolic Space. https://arxiv.org/abs/1002.2479

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