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• #### Spherical Arc-Length as a Global Conformal Parameter for Analytic Curves in the Riemann Sphere ﻿

[OWP-2016-21] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-11)
We prove that for every analytic curve in the complex plane $\mathbb{C}$, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the hyperbolic plane, hyperbolic ...