关于凸四边形间均值映射的注入性
度量几何
2024-07-08 v7
摘要
我们证明了凸四边形之间的均值映射是单射的，从而肯定地证明了 M. S. Floater 与 J. Kosinka 在《On the injectivity of Wachspress and mean value mappings between convex polygons》（Adv. in Comp. Math. 32 (2010), 163-174）中所提出的一个猜想。
引用
@article{arxiv.2208.01037,
title = {On the Injectivity of Mean Value Mapping between Convex Quadrilaterals},
author = {Luca Dieci and Fabio V. Difonzo},
journal= {arXiv preprint arXiv:2208.01037},
year = {2024}
}
备注
There is still a flaw in the main proof