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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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Submitted on : Wednesday, January 30, 2013 - 1:18:49 PM
Last modification on : Friday, November 25, 2022 - 10:12:06 AM
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  • HAL Id : tel-00782664, version 1

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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. ⟨NNT : ⟩. ⟨tel-00782664⟩

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