Egorov's theorem for transversally elliptic operators on foliated manifolds and noncommutative geodesic flow

Details Egorov's theorem for transversally elliptic operators on foliated manifolds and noncommutative geodesic flow Egorov's theorem for transversally elliptic operators on foliated manifolds and noncommutative geodesic flow

2004-07-26

arxiv.org/abs/math/0407435v1

Math. Phys. Anal. Geom. 8 (2005), no. 2, 97--119.

Mathematics

Differential Geometry

23 pages, no figures. Completely revised and improved version of dg-ga/9703015

Scientific paper

10.1007/s11040-004-6495-5

The main result of the paper is Egorov's theorem for transversally elliptic
operators on compact foliated manifolds. This theorem is applied to describe
the noncommutative geodesic flow in noncommutative geometry of Riemannian
foliations.

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