论文标题
在伪里曼尼亚紧凑型谎言组的等轴测组上
On isometry groups of pseudo-Riemannian compact Lie groups
论文作者
论文摘要
让$ g $成为一个连接的,简单的连接,紧凑的简单谎言组。在本文中,我们表明$ g $的等轴测组带有左右伪里曼南南公制非常紧凑。此外,如果$ g $不是简单地连接,则等轴测组的身份组件是紧凑的。
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.