Smooth Models for Certain Fibered Partially Hyperbolic Systems
Dynamical Systems
2024-11-20 v3
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.
Cite
@article{arxiv.2208.07286,
title = {Smooth Models for Certain Fibered Partially Hyperbolic Systems},
author = {Meg Doucette},
journal= {arXiv preprint arXiv:2208.07286},
year = {2024}
}