2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152225We study the transversal wave equation on a compact Riemannian foliated manifold. As applications, we get an Egorov's type theorem for transversally elliptic operators, state a relationship between the singularities of the Fourier transform of the spectrum distribution function of a transversally elliptic operator and the corresponding transversal bicharacteristic flow and give a description of the noncommutative geodesic flow in transversal geometry of Riemannian foliations.LaTeX 2.09, 19 pagesDifferential GeometryThe transversal wave equation and the noncommutative geodesic flow in Riemannian foliationstext