球面上四个等面积区域的最小周长划分
微分几何
2009-06-19 v2
摘要
我们证明了将球面划分为四个等面积区域的最小周长划分是一个四面体划分。
引用
@article{arxiv.0903.4097,
title = {The Least-Perimeter Partition of a Sphere into Four Equal Areas},
author = {Max Engelstein},
journal= {arXiv preprint arXiv:0903.4097},
year = {2009}
}
备注
7 pages, 1 figure, PDFLaTeX. Minor cosmetic/typo revisions. Accepted to the Journal of Discrete and Computational Geometry