On isometry groups of pseudo-Riemannian compact Lie groups

2020/03/01 by Fuhai Zhu, Fuhai, Zhu, Zhiqi Chen +3 · 1 citation
Mathematics · #53C30 #53C50 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2003.00422

openalex publication_date 2020/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Semi-Riemannian metrics on compact simple Lie Groups

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