Find a function f: (-л, π) → R differentiable such that if p(0,0) = R(cos cos , sin cos , sin ) parameterizes the sphere S3 of radius R and cylinder C, then the function (0, z) = (cos, sin 0,z) parameterizes the F: S \ {0,0, +1} → C determined by -¹ ° F (0,0) = (0,f(p)) is a conformal diffeomorphism O O

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