Search results for "compact foliations"

showing 1 items of 1 documents

Partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy

2011

The thesis classifies partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy. Under the further assumption of a one-dimensional unstable bundle we show the following: If the unstable bundle is oriented then the system fibers over a hyperbolic toral automorphism. We further establish that the system has a dense orbit of center leaves. During the proof we show a Shadowing Lemma and the dynamical coherence without restrictions of the dimensions.

Mathematics::Dynamical Systems[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]systèmes dynamiques[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]dynamical systemshyperbolicité partiellepartial hyperbolicitycompact foliationsfeuilletages compacts
researchProduct