On isometry groups of pseudo-Riemannian compact Lie groups
Differential Geometry
2020-03-03 v1
Abstract
Let be a connected, simply-connected, compact simple Lie group. In this paper, we show that the isometry group of with a left-invariant pseudo-Riemannan metric is compact. Furthermore, the identity component of the isometry group is compact if is not simply-connected.
Keywords
Cite
@article{arxiv.2003.00422,
title = {On isometry groups of pseudo-Riemannian compact Lie groups},
author = {Zhu Fuhai and Chen Zhiqi and Liang Ke},
journal= {arXiv preprint arXiv:2003.00422},
year = {2020}
}