Resumo:
The main object of study in this work is partially hyperbolic diffeomorphisms. Fundamental
properties of these systems will be addressed, such as foliations, lifts, and linearization.
In addition, we discuss how a partially hyperbolic diffeomorphism on the torus
Td relates to its linearization. Based on the doctoral thesis of Andy Hammerlindl [10],
the main result of this work establishes that, under suitable assumptions, every partially
hyperbolic diffeomorphism on the torus Td, with d ≥ 3, is leaf conjugate to its linearization.