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

Federico Rodriguez Hertz; Jana Rodriguez Hertz; Raul Ures

arxiv: 1409.0738 · v1 · pith:HO6AIL3Bnew · submitted 2014-09-02 · 🧮 math.DS

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

Federico Rodriguez Hertz , Jana Rodriguez Hertz , Raul Ures This is my paper

classification 🧮 math.DS

keywords examplecoherentnon-dynamicallybeenbundlecenterdiffeomorphismexistence

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

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