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arXiv · 2306.14491

Bundle switching in higher dimensions

Andy Hammerlindl
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Abstract

Assuming it preserves an orientation of its stable bundle, any three-dimensional partially hyperbolic diffeomorphism can be used to construct a four-dimensional partially hyperbolic diffeomorphism which is dynamically incoherent. Under the same assumption, the time-one map of any three-dimensional Anosov flow can be used to construct a four-dimensional diffeomorphism which is both absolutely partially hyperbolic and dynamically incoherent. Further results hold in higher dimensions under additional assumptions.

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Andy Hammerlindl. 2023-06-26. Bundle switching in higher dimensions. https://arxiv.org/abs/2306.14491

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