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

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

2005-07-31

arxiv.org/abs/math/0508024v3

Mathematics

Dynamical Systems

21 pages, 2 figures. Step 4 and the perturbation argument in Step 1 have been corrected. Due consideration is given to converg

Scientific paper

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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