Proof of the Verjovsky Conjecture
Dynamical Systems
2023-09-21 v1
Abstract
In this paper we present a proof of the Verjovsky conjecture: Every codimension-one Anosov flow on a manifold of dimension greater than three is topologically equivalent to the suspension of a hyperbolic toral automorphism. In fact, the conjecture is derived from possible more general result that says that for every codimension-one volume-preserving Anosov flow on a manifold of dimension greater than three, a suitable time change guarantees that the stable and unstable sub-bundles are then jointly integrable.
Cite
@article{arxiv.2309.10944,
title = {Proof of the Verjovsky Conjecture},
author = {Khadim War},
journal= {arXiv preprint arXiv:2309.10944},
year = {2023}
}