no. 4
A non-dynamically coherent example on T3
Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 4, pp. 1023-1032.

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 [2].

DOI : 10.1016/j.anihpc.2015.03.003
Mots clés : Partial hyperbolicity, Dynamical coherence, Cohomological equations 
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Rodriguez Hertz, F.; Rodriguez Hertz, M.A.; Ures, R. A non-dynamically coherent example on $ {\mathbb{T}}^{3}$. Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 4, pp. 1023-1032. doi : 10.1016/j.anihpc.2015.03.003. http://archive.numdam.org/articles/10.1016/j.anihpc.2015.03.003/

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