四点组的共形对偶
几何拓扑
2016-03-21 v2
摘要
设 为 中的一个四点组。我们以共形几何的方式定义其“对偶”四点组。我们证明了对偶的对偶四点组与原四点组重合。我们还证明了该对偶四点组的交比等于原四点组交比的复共轭。
引用
@article{arxiv.0709.0454,
title = {Conformal dual of a quadruplet of points},
author = {Jun O'Hara},
journal= {arXiv preprint arXiv:0709.0454},
year = {2016}
}
备注
This is a second version. A very short section was added at the end, where a cocircular case, which is a special case, was studied. A result in elementary geometry, especially, inversive geometry. 9 pages, 9 figures