The transversal wave equation and the noncommutative geodesic flow in Riemannian foliations

Publication date: 21 March 1997

Abstract: We 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.

This page was built for publication: The transversal wave equation and the noncommutative geodesic flow in Riemannian foliations