2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61764In this note, we answer positively a question by Belegradek and Kapovitch about the relation between rational homotopy theory and a problem in Riemannian geometry which asks that total spaces of which vector bundles over compact nonnegative curved manifolds admit (complete) metrics with nonnegative curvature.7 pages, talk to be given at SISTAG, National Univ. of Singapore, Jul.2-6, 2001Algebraic TopologyDifferential Geometry53C20 53C40 55P10text