圆弧是唯一具有一个外幂点的解析 Jordan 曲线
度量几何
2022-07-05 v2
摘要
1946 年，J. Rosenbaum 提出了一系列问题，询问需要多少个幂点才能确保给定凸体边界 为圆盘。本文中，我们利用 Riordan 矩阵证明，若该曲线 是解析的，则仅一个外幂点便已足够。
关键词
引用
@article{arxiv.2201.07892,
title = {Circular arcs are the only analytic Jordan curves with an exterior power point},
author = {Luis Felipe Prieto-Martínez},
journal= {arXiv preprint arXiv:2201.07892},
year = {2022}
}
备注
There is a mistake in the proof of the main theorem that spoils the strategy for showing uniqueness. At this moment I am not able to ensure the vality of the main theorem