Partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy

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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Source https://theses.hal.science/tel-00782664
Author Bohnet, Doris
Maintainer CCSD
Last Updated May 14, 2026, 19:59 (UTC)
Created May 14, 2026, 19:59 (UTC)
Identifier tel-00782664
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Géométrie et Systèmes Dynamiques ; Institut de Mathématiques de Bourgogne [Dijon] (IMB) ; Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS)-Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS)
creator Bohnet, Doris
date 2011-12-12T00:00:00
harvest_object_id c342b9f4-4c65-439a-8f2d-0aec6fcbca95
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-03-31T00:00:00
set_spec type:THESE