A new example of robustly transitive diffeomorphism

Abstract

We present an example of a ${\mathcal{C}}^1$-robustly transitive skew-product with non-trivial, non-hyperbolic action on homology. The example is conservative, ergodic, non-uniformly hyperbolic and its fiber directions cannot be decomposed into two dominated expanded/contracted bundles.

Several typos corrected and referee's suggestions incorporated. To be published in Math. Research Letters