Classical and quantum dynamics in transverse geometry of Riemannian foliations
Differential Geometry
2009-12-11 v1 Mathematical Physics
math.MP
Abstract
First, we survey some results on classical and quantum dynamical systems associated with transverse Dirac operators on Riemannian foliations. Then we illustrate these results by two examples of Riemannian foliations: a foliation given by the fibers of a fibration and a linear foliation on the two-dimensional torus.
Keywords
Cite
@article{arxiv.0912.1921,
title = {Classical and quantum dynamics in transverse geometry of Riemannian foliations},
author = {Yuri A. Kordyukov},
journal= {arXiv preprint arXiv:0912.1921},
year = {2009}
}
Comments
19 pages, to be published in the proceedings of the conference 'Spectrum and Dynamics', Montr\'eal, 2008