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Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions

Slobodan N. Simić
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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.

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Slobodan N. Simić. 2014-03-11. Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions. https://arxiv.org/abs/math/0508024

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