2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128552We show that a left invariant metric on a compact Lie group $G$ which is obtained by stretching a biinvariant metric in the direction of a subalgebra $\h$ of $\g$ always has some negative sectional curvature, unless the semi-simple part of $\h$ is an ideal of $\g$.4 pagesDifferential Geometry53C20text