arXiv math/04074352004-07-26math.DGmath.SP

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

Yuri A. Kordyukov

备注：: 23 pages, no figures. Completely revised and improved version of dg-ga/9703015
发表信息：: Math. Phys. Anal. Geom. 8 (2005), no. 2, 97--119.
DOI：: 10.1007/s11040-004-6495-5

英文摘要：

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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