$\mathbb{R}^3$ 中常平均曲率曲面的几何
微分几何
2016-09-27 v1
摘要
我们推导了嵌入在 中具有非零常平均曲率的紧致圆盘的内蕴曲率与半径估计，并将这些估计应用于研究嵌入在 中具有非零常平均曲率的完备曲面的整体几何。
引用
@article{arxiv.1609.08032,
title = {The geometry of constant mean curvature surfaces in $\mathbb{R}^3$},
author = {William H. Meeks and Giuseppe Tinaglia},
journal= {arXiv preprint arXiv:1609.08032},
year = {2016}
}
备注
The results of this paper were originally contained in our previous posting: arXiv:1502.06110v2. This paper, namely arXiv:1502.06110v2, has been divided into two papers of which the present paper is the second part