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ON THE EXTREMAL CURVATURE AND TORSION OF STEREOGRAPHICALLY PROJECTED ANALYTIC CURVES

ON THE EXTREMAL CURVATURE AND TORSION OF STEREOGRAPHICALLY PROJECTED ANALYTIC CURVES


 
 
 In this paper, we first derive formulas for the curvature and torsion of curves on $S^2$ produced by stereographically projecting the image curves of analytic, univalent functions belonging to the class $\mathcal S$. We are concerned here with the problems of determining the extreme values of the …