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Uniqueness of the holomorphic Ahlfors–Hopf extremal on the disk
Uniqueness conjecture. If $\hat{\Phi}$ is holomorphic, then $\hat{h}=\operatorname{identity}$ .
Conjectureopendistortion-functionals quasiconformal-mappings riemann-surfacesarXiv posted 2 days ago

Uniqueness of the holomorphic Ahlfors–Hopf extremal on the disk