On isometry groups of pseudo-Riemannian compact Lie groups

Published 1 Mar 2020 in math.DG | (2003.00422v1)

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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