Moebius transformations preserving fixed anharmonic ratio
Geometric Topology
2008-10-27 v1 Complex Variables
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.
Cite
@article{arxiv.0810.4433,
title = {Moebius transformations preserving fixed anharmonic ratio},
author = {Vladislav Aseev and Tatyana Kergylova},
journal= {arXiv preprint arXiv:0810.4433},
year = {2008}
}
Comments
10 pages