Classical and quantum dynamics in transverse geometry of Riemannian foliations

Details Classical and quantum dynamics in transverse geometry of Riemannian foliations Classical and quantum dynamics in transverse geometry of Riemannian foliations

2009-12-10

arxiv.org/abs/0912.1921v1

Mathematics

Differential Geometry

19 pages, to be published in the proceedings of the conference 'Spectrum and Dynamics', Montr\'eal, 2008

Scientific paper

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.

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