Commuting Isometries of the Complex Hyperbolic Space

Details Commuting Isometries of the Complex Hyperbolic Space Commuting Isometries of the Complex Hyperbolic Space

2010-02-12

arxiv.org/abs/1002.2479v3

Mathematics

Differential Geometry

significantly revised version

Scientific paper

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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