论文标题
单模型的Sasaki和Vaisman Lie群体
Unimodular Sasaki and Vaisman Lie groups
论文作者
论文摘要
这是我们关于统一局部合成的Kaehler和Sasaki歧管的研究的延续。在最近的一项工作中，应用了修改技术，我们确定了所有统一的sasaki和vaisman歧管的lie式谎言群体，直到修改为止。在本文中，我们明确地确定了谎言群体的所有这些修改，并获得了单模型的sasaki和vaisman Lie群体的完整分类。此外，我们确定了每种类型的简单连接的非导出的Vaisman谎言组的生物形态类型。
This is a continuation of our study on homogeneous locally conformally Kaehler and Sasaki manifolds. In a recent work, applying the technique of modification we have determined all homogeneous Sasaki and Vaisman manifolds of unimodular Lie groups, up to modifications. In this paper we determine all such modifications explicitly for the case of Lie groups, obtaining a complete classification of unimodular Sasaki and Vaisman Lie groups. Furthermore, we determine the biholomorphism type of a simply connected unimodular Vaisman Lie group of each type.
