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Smooth models for certain fibered partially hyperbolic systems
Published online by Cambridge University Press: 13 November 2023
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.
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- © The Author(s), 2023. Published by Cambridge University Press
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