Perturbation of the time-1 map of a generic volume-preserving $3$-dimensional Anosov flow

Masato Tsujii, Zhiyuan Zhang

Let $s>1$ be a large integer, and let $f$ be a diffeomorphism sufficiently close in the $C^s$-topology to the time-1 map of a $C^s$ generic volume-preserving Anosov flow on a…