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].
@article{AIHPC_2016__33_4_1023_0, author = {Rodriguez Hertz, F. and Rodriguez Hertz, M.A. and Ures, R.}, title = {A non-dynamically coherent example on $ {\mathbb{T}}^{3}$}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {1023--1032}, publisher = {Elsevier}, volume = {33}, number = {4}, year = {2016}, doi = {10.1016/j.anihpc.2015.03.003}, mrnumber = {3519530}, zbl = {1380.37067}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2015.03.003/} }
TY - JOUR AU - Rodriguez Hertz, F. AU - Rodriguez Hertz, M.A. AU - Ures, R. TI - A non-dynamically coherent example on $ {\mathbb{T}}^{3}$ JO - Annales de l'I.H.P. Analyse non linéaire PY - 2016 SP - 1023 EP - 1032 VL - 33 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2015.03.003/ DO - 10.1016/j.anihpc.2015.03.003 LA - en ID - AIHPC_2016__33_4_1023_0 ER -
%0 Journal Article %A Rodriguez Hertz, F. %A Rodriguez Hertz, M.A. %A Ures, R. %T A non-dynamically coherent example on $ {\mathbb{T}}^{3}$ %J Annales de l'I.H.P. Analyse non linéaire %D 2016 %P 1023-1032 %V 33 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2015.03.003/ %R 10.1016/j.anihpc.2015.03.003 %G en %F AIHPC_2016__33_4_1023_0
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, Volume 33 (2016) no. 4, pp. 1023-1032. doi : 10.1016/j.anihpc.2015.03.003. http://www.numdam.org/articles/10.1016/j.anihpc.2015.03.003/
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