A non-dynamically coherent example on
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
Keywords:
Partial hyperbolicity, Dynamical coherence, Cohomological equations
@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},
year = {2016},
publisher = {Elsevier},
volume = {33},
number = {4},
doi = {10.1016/j.anihpc.2015.03.003},
mrnumber = {3519530},
zbl = {1380.37067},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2015.03.003/}
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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
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PB - Elsevier
UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2015.03.003/
DO - 10.1016/j.anihpc.2015.03.003
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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
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