Locally Conformally Kähler Structures on Homogeneous Spaces
Locally Conformally Kähler Structures on Homogeneous Spaces
复制标题
均匀空间上的局部共形凯勒结构
DOI：
10.1007/978-3-319-11523-8_13
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Y. Kamishima
中科院分区：
文献类型：
--
作者：
K. Hasegawa;Y. Kamishima
本文将讨论齐次局部共形Kähler（或短齐次l.c.K.）流形和局部齐次L.C.K.流形从各个方面的研究领域的l.c.K.几何我们将提供一个调查的已知结果沿着与一些新的结果和意见，特别是我们做了一个完整的分类4维齐次和局部齐次l.c.K.李代数中的流形
We will discuss in this paper homogeneous locally conformally Kähler (or shortly homogeneous l.c.K.) manifolds and locally homogeneous l.c.K. manifolds from various aspects of study in the field of l.c.K. geometry. We will provide a survey of known results along with some new results and observations; in particular we make a complete classification of 4-dimensional homogeneous and locally homogeneous l.c.K. manifolds in terms of Lie algebras.