Geometric Anosov flows of dimension five with smooth distributions

Abstract

We classify the five dimensional C Anosov flows which have C-Anosov splitting and preserve a smooth pseudo-Riemannian metric . Up to a special time change and finite covers, such a flow is C flow equivalent either to the suspension of a symplectic hyperbolic automorphism of T4, or to the geodesic flow on a three dimensional hyperbolic manifold. 

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Cite this paper

@inproceedings{Fang2005GeometricAF, title={Geometric Anosov flows of dimension five with smooth distributions}, author={Yong Qin Fang}, year={2005} }