2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64237We show that the Cheeger isoperimetric constant of a solvable simply connected Lie group $G$ with Lie algebra $\G$ is $h(G)=\max_{H\in\G,||H||=1} \tr(\ad (H))$.Differential GeometryThe Cheeger constant of simply connected, solvable Lie groupstext