6533b822fe1ef96bd127ddb2

RESEARCH PRODUCT

Partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy

Doris Bohnet

subject

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

description

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.

yearjournalcountryeditionlanguage
2011-12-12
https://tel.archives-ouvertes.fr/tel-00782664/document