Commuting isometries of the complex hyperbolic space-Reference-Cited by-同舟云学术

Commuting isometries of the complex hyperbolic space

Published:2011-02-11 Issue:9 Volume:139 Page:3317-3326
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cao Wensheng,Gongopadhyay Krishnendu

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2011-139-09/S0002-9939-2011-10796-2/S0002-9939-2011-10796-2.pdf

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