%0 Journal Article
%T A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in $\mathbb R$
%A Joonhyung Kim
%A Sungwoon Kim
%J Mathematics
%D 2014
%I arXiv
%X We show that $\Gamma < \textbf{SU}(3,1)$ is a non-elementary complex hyperbolic Kleinian group in which $tr(\gamma) \in \R$ for all $\gamma \in \Gamma$ if and only if $\Gamma$ is conjugate to a subgroup of $\textbf{SO}(3,1)$ or $\textbf{SU}(1,1)\times\textbf{SU}(2)$.
%U http://arxiv.org/abs/1401.4244v1