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

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

1997-03-21

arxiv.org/abs/dg-ga/9703015v1

Mathematics

Differential Geometry

LaTeX 2.09, 19 pages

Scientific paper

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.

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