Partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy

Doris Bohnet 1
1 Géométrie et Systèmes Dynamiques
IMB - Institut de Mathématiques de Bourgogne [Dijon]
Abstract : 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.
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Doris Bohnet. Partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy. Dynamical Systems [math.DS]. Universität Hamburg, 2011. English. ⟨tel-00782664⟩

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