Rigidity of stable Lyapunov exponents and integrability for Anosov maps

Jinpeng An, Shaobo Gan, Ruihao Gu +1

Let $f$ be a non-invertible irreducible Anosov map on $d$-torus. We show that if the stable bundle of $f$ is one-dimensional, then $f$ has the integrable unstable bundle, if and on…