Open Access
December 2010 On Transformations that Preserve Fixed Anharmonic Ratio
Kergylova TATYANA, Aseev VLADISLAV
Tokyo J. Math. 33(2): 365-371 (December 2010). DOI: 10.3836/tjm/1296483476

Abstract

O. Kobayashi [6] in 2007 proved that $C^1$-mappings preserving anharmonic ratio are Moebius transformations. We strengthen his theorem and prove that the requirement of differentiability and even of injectivity can be omitted.

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Kergylova TATYANA. Aseev VLADISLAV. "On Transformations that Preserve Fixed Anharmonic Ratio." Tokyo J. Math. 33 (2) 365 - 371, December 2010. https://doi.org/10.3836/tjm/1296483476

Information

Published: December 2010
First available in Project Euclid: 31 January 2011

zbMATH: 1232.30018
MathSciNet: MR2779263
Digital Object Identifier: 10.3836/tjm/1296483476

Rights: Copyright © 2010 Publication Committee for the Tokyo Journal of Mathematics

Vol.33 • No. 2 • December 2010
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