Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions
Dynamical Systems
2014-03-12 v4 Differential Geometry
Abstract
We show that every volume preserving codimension one Anosov flow on a closed Riemannian manifold of dimension greater than three admits a global cross section and is therefore topologically conjugate to a suspension of a linear toral automorphism. This proves a conjecture of Verjovsky from the 1970's in the volume preserving case.
Keywords
Cite
@article{arxiv.math/0508024,
title = {Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions},
author = {Slobodan N. Simić},
journal= {arXiv preprint arXiv:math/0508024},
year = {2014}
}
Comments
This paper has been withdrawn by the author due the fact that Theorem 3.1 is false. We apologize for the tardiness of this withdrawal