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arXiv · 1409.0738

A non-dynamically coherent example on ${\mathbb T}^3$

Federico Rodriguez Hertz·Jana Rodriguez Hertz·Raul Ures
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Abstract

In this paper we give the first example of a non-dynamically coherent partially hyperbolic diffeomorphism with one-dimensional center bundle. The existence of such an example had been an open question since 1975.

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Federico Rodriguez Hertz, Jana Rodriguez Hertz, Raul Ures. 2014-09-02. A non-dynamically coherent example on ${\mathbb T}^3$. https://arxiv.org/abs/1409.0738

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