Difeomorfismos parcialmente hiperbólicos robustamente transitivos: o exemplo do Shub e a classe de Shub

Abstract

In this work, we discuss robustly transitive partially hyperbolic diffeomorphisms, with emphasis on the classical Shub’s example and the Shub class. We analyze the original construction of the Shub example, the first example of a strictly non-hyperbolic partially hyperbolic diffeomorphism exhibiting robust transitivity, and the generalization proposed by the Shub class, introduced in 2025.