A note on a rigidity estimate for degree $\pm 1$ conformal maps on $\mathbb{S}^2$

preprint2021arXivOpen access

In this note we present a short alternative proof of an estimate obtained by A.B.-Mantel, C.B. Muratov and T.M. Simon in [3] regarding the rigidity of degree { $\pm 1$ } conformal maps of $\mathbb{S}^2$ , i.e. its Möbius transformations.

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A note on a rigidity estimate for degree $\pm 1$ conformal maps on $\mathbb{S}^2$

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A note on a rigidity estimate for degree ±1\pm 1±1 conformal maps on S2\mathbb{S}^2S2

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A note on a rigidity estimate for degree $\pm 1$ conformal maps on $\mathbb{S}^2$