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On isometry groups of pseudo-Riemannian compact Lie groups
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-06-22 , DOI: 10.1090/proc/15549
Fuhai Zhu , Zhiqi Chen , Ke Liang

Abstract:Let $G$ be a connected, simply-connected, compact simple Lie group. In this paper, we show that the isometry group of $G$ with a left-invariant pseudo-Riemannan metric is compact. Furthermore, the identity component of the isometry group is compact if $G$ is not simply-connected.


中文翻译:

关于拟黎曼紧李群的等距群

摘要:令$G$为连通、单连通、紧单李群。在本文中,我们证明了具有左不变伪黎曼度量的 $G$ 等距群是紧凑的。此外,如果 $G$ 不是简单连接的,则等距组的身份组件是紧凑的。
更新日期:2021-07-27
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