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arXiv · 2309.10944

Proof of the Verjovsky Conjecture

Khadim War
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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.

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Khadim War. 2023-09-19. Proof of the Verjovsky Conjecture. https://arxiv.org/abs/2309.10944

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