3 problems

Let $M^3$ be a 3-dimensional manifold and let $f:M^3\rightarrow M^3$ be a partially hyperbolic diffeomorphism. A $cu$-torus is a 2-torus tangent to the center-unstable bundle…

Consider orientable 3-manifolds supporting partially hyperbolic dynamics. Hertz–Hertz–Ures weak dynamical coherence conjecture. The only orientable 3-manifolds supporting non-dynam…

Let $M$ be a compact connected $3$-manifold without boundary, and let $f:M\to M$ be a partially hyperbolic diffeomorphism, meaning that there are $N>0$ and a $Df$-invariant continu…