2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72977The Busemann-Petty problem asks whether origin-symmetric convex bodies in $\mathbb{R}^n$ with smaller central hyperplane sections necessarily have smaller $n$-dimensional volume. It is known that the answer to this problem is affirmative if $n\le 4$ and negative if $n\ge 5$. We study this problem in hyperbolic and spherical spaces.16 pages, 2 figuresFunctional Analysis52Axxtext