  In this article, we study a class of manifolds introduced by Bosio called
$\LVMB$ manifolds. We provide an interpretation of his construction in terms of
quotient of toric manifolds by complex Lie groups. Furthermore, $\LVMB$
manifolds extend a class of manifolds obtained by Meersseman, called $\LVM$
manifolds, and we give a characterization of these manifolds using our toric
description. Finally, we give an answer to a question asked by Cupit-Foutou and
Zaffran.
