Smooth models for certain fibered partially hyperbolic systems-Reference-Cited by-同舟云学术

Smooth models for certain fibered partially hyperbolic systems

Published:2023-11-13 Issue: Volume: Page:1-26
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

DOUCETTE MEG

Abstract

Abstract We prove that under restrictions on the fiber, any fibered partially hyperbolic system over a nilmanifold is leaf conjugate to a smooth model that is isometric on the fibers and descends to a hyperbolic nilmanifold automorphism on the base. One ingredient is a result of independent interest generalizing a result of Hiraide: an Anosov homeomorphism of a nilmanifold is topologically conjugate to a hyperbolic nilmanifold automorphism.

Funder

National Science Foundation

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference43 articles.

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