Conformal mapping and ellipses

Arne Ledet; Alexander Yu Solynin

doi:10.1090/S0002-9939-06-08482-6

Conformal mapping and ellipses

Arne Ledet, Alexander Yu Solynin

Mathematics and Statistics

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

Abstract

We answer a question raised by M. Chuaqui, P. Duren, and B. Osgood by showing that a conformal mapping of a simply connected domain cannot take two circles onto two proper ellipses.

Original language	English
Pages (from-to)	3507-3513
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-06-08482-6
State	Published - Dec 2006

Keywords

Conformal mapping
Ellipse

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title = "Conformal mapping and ellipses",

abstract = "We answer a question raised by M. Chuaqui, P. Duren, and B. Osgood by showing that a conformal mapping of a simply connected domain cannot take two circles onto two proper ellipses.",

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