English

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

Dynamical Systems 2014-09-03 v1

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.

Keywords

Cite

@article{arxiv.1409.0738,
  title  = {A non-dynamically coherent example on ${\mathbb T}^3$},
  author = {Federico Rodriguez Hertz and Jana Rodriguez Hertz and Raul Ures},
  journal= {arXiv preprint arXiv:1409.0738},
  year   = {2014}
}

Comments

15 pages, 2 figures

R2 v1 2026-06-22T05:46:35.495Z