Our note with Thomas Barthelmé was accepted to Math Research Letters yesterday. (Hat tip to an anonymous referee for providing very helpful and thorough reports.) This note was motivated by my work with Tom Farrell on topological rigidity of *Anosov bundles*, which are fiber bundles equipped with fiberwise Anosov flows.

ExampleLet be a surface of genus and let be a fiber bundle. Because the space of negatively curved metrics on is contractible the fibers of the bundle can be equipped with continuously varying metrics of negative curvature. Then such fiberwise metric yields a fiberwise Anosov geodesic flow on the associated bundle

whose fiber is the unit tangent bundle of .