2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105080In this paper, we obtain two-sided bounds for the volumes of the Aloff-Wallach spaces $W(p,q),$ compute maximal and minimal sectional curvature for the spaces $W(n,n+1),$ and use this information to estimate the injectivity radii: We derive an upper bound for the injectivity radii of $W(p,q)$ and a lower bound for the injectivity radii of $W(n,n+1).$21 pages, 2 figuresDifferential Geometry53C20text