2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126044We present an argument which leads from the Brunn-Minkowski inequality to a Poincare' type inequality on the boundary of convex bodies with smooth boundary and positive Gauss curvature9 pagesFunctional AnalysisMetric Geometry52A20; 26D10From the Brunn-Minkowski inequality to a class of Poincaré type inequalitiestext