Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on ℙn

Abstract

In this paper, we extend a result of Schwick concerning normality and sharing values in one complex variable for families of holomorphic curves taking values in ℙn. We consider wandering moving hyperplanes (i.e., depending on the respective holomorphic curve in the family under consideration) and establish a sufficient condition for normality concerning shared hyperplanes.