Uniqueness of the stereographic embedding

2014/12/02 by Michael Eastwood, Eastwood, Michael
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53A30 #Secondary 53C22 #math.DG #msc:53A30 #msc:53C22

paper · pdf · doi:10.48550/arxiv.1412.0746

6 pages

arxiv created 2014/12/02 · arxiv updated 2014/12/03

Abstract

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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