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On some new properties of the spherical curvature ofstereographically projected analytic curves

On some new properties of the spherical curvature ofstereographically projected analytic curves

We discover new information about the spherical curvature of stereographically projected analytic curves. To do so, we first state formulas for the spherical curvature and spherical torsion of the curves on S 2 which result after stereographically projecting the image curves of analytic, univalent functions belonging to the class 𝒮 …