Locally conformal Kähler structures on compact nilmanifolds with left-invariant complex structures
Locally conformal Kähler structures on compact nilmanifolds with left-invariant complex structures
复制标题
具有左不变复杂结构的紧致尼尔流形上的局部共形 Kähler 结构
DOI：
10.1007/s10711-007-9140-1
复制
发表时间：
2007
影响因子：
0.5
通讯作者：
H. Sawai
中科院分区：
文献类型：
--
作者：
H. Sawai
令 (M,g,J) 为紧厄米流形和 (g,J) 的基本 2-形式。如果存在闭 1-形式 α 使得厄米流形 (M,g,J) 称为局部共形凯勒流形。本文的目的是给出具有左不变复杂结构的局部共形 Kähler nilmanifolds 的完整分类。
Let (M,g,J) be a compact Hermitian manifold andthe fundamental 2-form of (g,J). A Hermitian manifold (M,g,J) is called a locally conformal Kähler manifold if there exists a closed 1-form α such that. The purpose of this paper is to give a completely classification of locally conformal Kähler nilmanifolds with left-invariant complex structures.