A note on mean convex 𝜆-surfaces in ℝ³,Proceedings of the American Mathematical Society

当前位置： X-MOL 学术 › Proc. Am. Math. Soc. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

A note on mean convex 𝜆-surfaces in ℝ³
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2021-01-25 , DOI: 10.1090/proc/15297
Qiang Guang

Abstract:Inspired by the work of Spruck and Xiao on mean convex translators, in this note, we show that any closed and mean convex $\lambda$ -surface in $\mathbb{R}^3$ with $\lambda \leq 0$ must be convex. We also give a curvature estimate for mean convex $\lambda$ -surfaces in $\mathbb{R}^3$ .

中文翻译：

关于ℝ³中的平均凸𝜆面的一个注记

摘要：Spruck和萧对平均凸翻译工作的启发，本说明中，我们表明，任何封闭和平均凸 $\ lambda$ -表面在具有一定是凸的。我们还给出了平均凸曲率估计在-surfaces 。 $\ mathbb {R} ^ 3$ $\ lambda \ leq 0$ $\ lambda$ $\ mathbb {R} ^ 3$

更新日期：2021-02-08

点击分享查看原文

点击收藏

阅读更多本刊最新论文本刊介绍/投稿指南

全部期刊列表>>