Moebius transformations preserving fixed anharmonic ratio

Details Moebius transformations preserving fixed anharmonic ratio Moebius transformations preserving fixed anharmonic ratio

2008-10-24

arxiv.org/abs/0810.4433v1

Mathematics

Geometric Topology

10 pages

Scientific paper

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.

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