EINSTEIN METRICS ON COMPACT SIMPLE LIE GROUPS ATTACHED TO STANDARD TRIPLES
EINSTEIN METRICS ON COMPACT SIMPLE LIE GROUPS ATTACHED TO STANDARD TRIPLES
复制标题
附于标准三元组的紧单李群的爱因斯坦度量
DOI：
10.1090/tran/7025
复制
发表时间：
2017
影响因子：
1.3
通讯作者：
Deng Shaoqiang
中科院分区：
文献类型：
--
作者：
Yan Zaili;Deng Shaoqiang
本文研究紧单李群上的左不变爱因斯坦度量。从标准三元组出发，我们找到了在紧单李群上构造左不变非自然约化爱因斯坦度规的方法。这一结果与标准齐次爱因斯坦流形的分类相结合，在紧致单李群上产生了大量新的非自然可约的爱因斯坦度量。特别地，我们证明了在紧单李群上，存在非自然约化的爱因斯坦度量。本文的另一个有趣的结果是在单李群上存在大量的左不变非自然约化的爱因斯坦度量。参考文献
In this paper, we study left invariant Einstein metrics on compact simple Lie groups. We find a method to construct left invariant non-naturally reductive Einstein metrics on compact simple Lie groups from a standard triple. This result, combined with the classification of standard homogeneous Einstein manifolds, leads to a large number of new Einstein metrics on compact simple Lie groups which are not naturally reductive. In particular, we show that on the compact simple Lie groupsand, there exist Einstein metrics which are not naturally reductive. A further interesting result of this paper is that on the simple Lie groupsandthere exist a large number of left invariant non-naturally reductive Einstein metrics. References