Kavli Affiliate: Xiang Zhang | First 5 Authors: Xiang Zhang, , , , | Summary: We show that every codimension one partially hyperbolic diffeomorphism must support on $mathbb{T}^{n}$. It is locally uniquely integrable and derived from a linear codimension one Anosov diffeomorphism. Moreover, this system is intrinsically ergodic, and the A. Katok’s conjecture about the […]
Continue.. On codimension one partially hyperbolic diffeomorphisms