3 problems

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…

Let a principal line field on a surface have isolated singularities, and let the index of such a singularity be defined in the usual sense for an unoriented line field. Loewner's c…

An invariant line field of a holomorphic function $f$ is a measurable field of non-oriented tangent lines supported on a completely invariant set of positive Lebesgue measure. No i…