Geodesic
Uniqueness of the stereographic embedding
Archivum mathematicum, Tome 50 (2014) no. 5, pp. 265-271

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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.
DOI : 10.5817/AM2014-5-265
Classification : 53A30, 53C22
Keywords: stereographic; conformal circles; compactification 
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Eastwood, Michael. Uniqueness of the stereographic embedding. Archivum mathematicum, Tome 50 (2014) no. 5, pp. 265-271. doi: 10.5817/AM2014-5-265

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