Anomalous Anosov flows revisited
Dynamical Systems
2020-05-13 v1 Geometric Topology
Abstract
This paper is devoted to higher dimensional Anosov flows and consists of two parts. In the first part, we investigate fiberwise Anosov flows on affine torus bundles which fiber over 3-dimensional Anosov flows. We provide a dichotomy result for such flows --- they are either suspensions of Anosov diffeomorphisms or the stable and unstable distributions have equal dimensions. In the second part, we give a new surgery type construction of Anosov flows, which yields non-transitive Anosov flows in all odd dimensions.
Cite
@article{arxiv.1712.07755,
title = {Anomalous Anosov flows revisited},
author = {Thomas Barthelmé and Christian Bonatti and Andrey Gogolev and Federico Rodriguez Hertz},
journal= {arXiv preprint arXiv:1712.07755},
year = {2020}
}
Comments
26 pages, 3 figures