Equivalent conditions for hyperbolicity on partially hyperbolic holomorphic map
Let $f:\mathbb{C}\sp n\to\mathbb{C}\sp n$, $n\geq2$, be a biholomorphism and let $Λ\subseteq \mathbb{C}\sp n$ be a compact $f$-invariant set such that $f|Λ$ is partially hyperbolic. We give equivalent conditions to hyperbolicity on $Λ$. In the particular case of generalized Hénon map with dominated splitting in the Julia set $J$, we characterize the hyperbolicity of $J$.
math.DS↗