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GEOMETRIC ANOSOV FLOWS OF DIMENSION FIVE WITH SMOOTH DISTRIBUTIONS
Published online by Cambridge University Press: 15 April 2005
Abstract
We classify the five-dimensional $C^\infty$ Anosov flows which have $C^\infty$-Anosov splitting and preserve a smooth pseudo-Riemannian metric. Up to a special time change and finite covers, such a flow is $C^\infty$ flow equivalent either to the suspension of a symplectic hyperbolic automorphism of $\mathbb{T}^{4}$, or to the geodesic flow on a three-dimensional hyperbolic manifold.
AMS 2000 Mathematics subject classification: Primary 34Cxx; 34Dxx; 37-XX
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- 2005 Cambridge University Press
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