Uniqueness of the stereographic embedding

Michael Eastwood

doi:10.5817/AM2014-5-265

Uniqueness of the stereographic embedding

Michael Eastwood^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	265-271
Number of pages	7
Journal	Archivum Mathematicum
Volume	50
Issue number	5
DOIs	https://doi.org/10.5817/AM2014-5-265
Publication status	Published - 2014

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title = "Uniqueness of the stereographic embedding",

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.",

keywords = "Compactification, Conformal circles, Stereographic",

author = "Michael Eastwood",

year = "2014",

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journal = "Archivum Mathematicum",

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AB - 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.

KW - Compactification

KW - Conformal circles

KW - Stereographic

UR - https://www.scopus.com/pages/publications/84920872776

U2 - 10.5817/AM2014-5-265

DO - 10.5817/AM2014-5-265

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VL - 50

SP - 265

EP - 271

JO - Archivum Mathematicum

JF - Archivum Mathematicum

IS - 5

ER -

Uniqueness of the stereographic embedding

Abstract

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