重访Alexandrov定理
偏微分方程分析
2019-03-13 v2 微分几何
摘要
我们证明了在有限周长的集合中，球是周长泛函在体积约束下的唯一临界点。
关键词
引用
@article{arxiv.1711.07690,
title = {Alexandrov's theorem revisited},
author = {M. G. Delgadino and F. Maggi},
journal= {arXiv preprint arXiv:1711.07690},
year = {2019}
}
备注
Version 2: Remarks on Wente's tori and volume-preserving mean curvature flows added. More detailed description of the main proof added. Theorem 2 in version 1 (Wulff shapes are the only local minimizers of anisotropic energies) has been moved to a separate preprint