Displaying similar documents to “On Quasiregualr Mappings and Domains with a Complete Conformal Metric.”

Uniqueness of the stereographic embedding

Michael Eastwood (2014)

Archivum Mathematicum

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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.