任意圆内接四边形可内接于任意闭凸光滑曲线
度量几何
2018-06-05 v2 几何拓扑
摘要
我们证明任意圆内接四边形可内接于任意闭凸 -曲线。若四边形为矩形，则无需光滑性条件。
引用
@article{arxiv.1712.10205,
title = {Any cyclic quadrilateral can be inscribed in any closed convex smooth curve},
author = {Arseniy Akopyan and Sergey Avvakumov},
journal= {arXiv preprint arXiv:1712.10205},
year = {2018}
}
备注
6 pages, 10 figures