关于具有近乎恒定平均曲率的紧致超曲面形状的研究
偏微分方程分析
2015-04-13 v2 微分几何
度量几何
摘要
近乎恒定平均曲率的边界与一族有限个互不相交且半径相等的切球之间的距离，可由标量平均曲率的振荡进行定量控制。该结果使得人们能够定量描述毛细管问题中受体积约束的静止集的几何形状。
引用
@article{arxiv.1503.06674,
title = {On the shape of compact hypersurfaces with almost constant mean curvature},
author = {Giulio Ciraolo and Francesco Maggi},
journal= {arXiv preprint arXiv:1503.06674},
year = {2015}
}
备注
36 pages, 2 figures. In this version we have added an appendix about almost umbilical surfaces