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Geometric Anosov flows of dimension five with smooth distributions

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Yong Fang
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Abstract

We classify five dimensional Anosov flows with smooth decomposition which are in addition transversely symplectic. Up to finite covers and a special time change, we find exectly the suspensions of symplectic hyperbolic automorphisms of four dimensional toris, and the geodesic flows of three dimensional hyperbolic manifolds.
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hal-00004411 , version 1 (10-03-2005)

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Yong Fang. Geometric Anosov flows of dimension five with smooth distributions. 2005. ⟨hal-00004411⟩
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