2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161727We study transverse conformal Killing forms on foliations and prove a Gallot-Meyer theorem for foliations. Moreover, we show that on a foliation with $C$-positive normal curvature, if there is a closed basic 1-form $ϕ$ such that $Δ_Bϕ=qCϕ$, then the foliation is transversally isometric to the quotient of a $q$-sphere.20 pagesDifferential Geometry53C12; 53C27; 57R30text