On the Integrability of codimension-one invariant subbundles of partially hyperbolic skew-products

Ricardo C. Lemes, Vanderlei M. Horita

We prove there is a class of maps $\gamma :{\mathbb{T}}^{2n}\to {\mathbb{S}}^1$ such that a conservative dynamically coherent partially hyperbolic skew-product on $\mathbb{T}^{2n}\tim…