paper

Moebius transformations preserving fixed anharmonic ratio

arXiv:0810.4433

Abstract

O. Kobayashi in 2007 proved that differentiable mappings preserving anharmonic ratio are Moebius transformations. We strengthen his result and prove, that the requirement of differentiability and even of injectivity can be omitted.

10 pages

Moebius transformations preserving fixed anharmonic ratio · wovepaper