### Some homeomorphisms of the sphere conformal off a curve.

Bishop, Christopher J. (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Bishop, Christopher J. (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Harry Levy (1940)

Časopis pro pěstování matematiky a fysiky

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K. Leschke, F. Pedit (2005)

Banach Center Publications

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Näätänen, Marjatta (1993)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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J. Eschenburg, R. Tribuzy (1987/88)

Mathematische Annalen

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Kuznetsov, Alexander (2004)

Lobachevskii Journal of Mathematics

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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.

Harry Levy (1940)

Časopis pro pěstování matematiky a fysiky

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Branson, Thomas

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The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.