Some homeomorphisms of the sphere conformal off a curve.
Bishop, Christopher J. (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Some homeomorphisms of the sphere conformal off a curve.
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The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.
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