Homogeneous Sasaki and Vaisman manifolds of unimodular Lie groups
arXiv:1810.01095 · doi:10.1017/nmj.2019.34
Abstract
A Vaisman manifold is a special kind of locally conformally Kaehler manifold, which is closely related to a Sasaki manifold. In this paper we show a basic structure theorem of simply connected homogeneous Sasaki and Vaisman manifods of unimodular Lie groups, up to holomorphic isometry. For the case of unimodular Lie groups, we obtain a complete classification of simply connected Sasaki and Vaisman unimodular Lie groups, up to modification.
18 pages