Tokyo Journal of Mathematics

On Transformations that Preserve Fixed Anharmonic Ratio

Kergylova TATYANA and Aseev VLADISLAV

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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.

Article information

Source
Tokyo J. of Math., Volume 33, Number 2 (2010), 365-371.

Dates
First available in Project Euclid: 31 January 2011

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1296483476

Digital Object Identifier
doi:10.3836/tjm/1296483476

Mathematical Reviews number (MathSciNet)
MR2779263

Zentralblatt MATH identifier
1232.30018

Citation

VLADISLAV, Aseev; TATYANA, Kergylova. On Transformations that Preserve Fixed Anharmonic Ratio. Tokyo J. of Math. 33 (2010), no. 2, 365--371. doi:10.3836/tjm/1296483476. https://projecteuclid.org/euclid.tjm/1296483476


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References

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