English

Uniqueness of the stereographic embedding

Differential Geometry 2014-12-03 v1

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

Cite

@article{arxiv.1412.0746,
  title  = {Uniqueness of the stereographic embedding},
  author = {Michael Eastwood},
  journal= {arXiv preprint arXiv:1412.0746},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-22T07:17:40.999Z