2 problems

Let $R$ be a rational map of the Riemann sphere, and let its Julia set be the set on which the associated dynamics is chaotic. An invariant line field for $R$ is a Beltrami form…

Let $f$ be a rational map, let $J$ be its Julia set, and let an invariant line field on $J$ mean a line field fixed by the pushforward operator … A rational map is double covered b…