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 Local structure of trajectory for extremal functions Bull. Korean Math. Soc. 1999 Vol. 36, No. 3, 609-619 Suk Young Lee Ewha Womans University Abstract : In this note we study more about the omitted arc for the extremal functions and its $\pi \over 4$-property based upon Schiffer's variational method and Brickman-Wilken's result. We give an example other than the Koebe function which is both a support point of $S$ and the extreme point of $HS$. Furthermore, we discuss the relations between the support points and the L\"owner chain. Keywords : slit mapping, trajectories, support points, extreme points MSC numbers : Primary 30C45 Downloads: Full-text PDF