保持固定非调和比的Moebius变换
Moebius transformations preserving fixed anharmonic ratio
摘要:
O. Kobayashi在2007年证明了保非调和比的微分映射是Moebius变换。我们加强了他的结果,证明了可微性甚至内射性的要求可以省略。
英文摘要:
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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