A non-dynamically coherent example on
M.A. Rodriguez Hertz
IMERL-Facultad de Ingeniería, Universidad de la República, CC 30 Montevideo, UruguayR. Ures
IMERL-Facultad de Ingeniería, Universidad de la República, CC 30 Montevideo, UruguayF. Rodriguez Hertz
Department of Mathematics, The Pennsylvania State University, University Park, State College, PA 16802, United States
![A non-dynamically coherent example on \( T^{3} \) cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpc-volume-33-issue-4.png&w=3840&q=90)
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 . Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 4, pp. 1023–1032
DOI 10.1016/J.ANIHPC.2015.03.003