Geometric Anosov flows of dimension 5

✍ Scribed by Yong Fang

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 87 KB
• Volume: 336
• Category: Article
• ISSN: 1631-073X
• DOI: 10.1016/s1631-073x(03)00096-7

✦ Synopsis

We show that for a smooth Anosov flow on a closed five dimensional manifold, if it has C ∞ Anosov splitting and preserves a C ∞ pseudo-Riemannian metric, then up to a special time change and finite covers, it is C ∞ flow equivalent either to the suspension of a symplectic hyperbolic automorphism of T 4 , or to the geodesic flow on a three dimensional hyperbolic manifold.