Rigidity of $\text{U}$-Gibbs measures near conservative Anosov diffeomorphisms on ${\mathbb{T}}^3$

Sébastien Alvarez, Martin Leguil, Davi Obata +1

We show that within a $C^1$-neighbourhood $\mathcal{U}$ of the set of volume preserving Anosov diffeomorphisms on the three-torus ${\mathbb{T}}^3$ which are strongly partially hyperb…