We prove that for Anosov maps of the $3$-torus if the Lyapunov exponents of absolutely continuous measures in every direction are equal to the geometric growth of the invariant foliations then $f$ is $C^1$ conjugated to his linear part.
Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms
Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics
On Khintchine exponents and Lyapunov exponents of continued fractions
![QR code for arXiv:1705.08860 [math.DS]](http://oss.arxitics.com/images/favicon.svg)