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

M.A. Rodriguez Hertz; R. Ures; F. Rodriguez Hertz

doi:10.1016/j.anihpc.2015.03.003

JournalsaihpcVol. 33, No. 4pp. 1023–1032

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

M.A. Rodriguez Hertz
IMERL-Facultad de Ingeniería, Universidad de la República, CC 30 Montevideo, Uruguay
R. Ures
IMERL-Facultad de Ingeniería, Universidad de la República, CC 30 Montevideo, Uruguay
F. Rodriguez Hertz
Department of Mathematics, The Pennsylvania State University, University Park, State College, PA 16802, United States

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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 [2].

Cite this article

M.A. Rodriguez Hertz, R. Ures, F. Rodriguez Hertz, A non-dynamically coherent example on $T^{3}$ . Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 4, pp. 1023–1032

DOI 10.1016/J.ANIHPC.2015.03.003