"Mean convex properly embedded [9, eE31-minimal surfaces in R3"(vol 38, pg 1349, 2022)

被引：0

作者：

Martinez, Antonio ^{[1
]}

Martinez-Trivino, Antonio Luis ^{[2
]}

dos Santos, Joao Paulo ^{[3
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, Ave Fuente Nueva S-N, Granada 18071, Spain

[2] Univ Cordoba Campus Rabanales, Dept Matemat Aplicada, Cordoba 14071, Spain

[3] Univ Brasilia Campus Univ Darcy Ribeiro, Dept Matemat, BR-7910900 Brasilia, DF, Brazil

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2024年 / 40卷 / 01期

关键词：

phi-minimal surface; mean convex; area estimates; curvature estimates; convexity;

D O I：

10.4171/RMI/1468

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This corrigendum fixes wrong signs in two equations used in the proof of Theorem B of [Rev. Mat. Iberoam. 38 (2022), 1349-1370]. The statement of the theorem remains true, and here we present the corrected versions of both the equations and their consequences.

引用

页码：399 / 401

页数：3

共 7 条

[1] Mean convex properly embedded [φ, (e)over-right-arrow3]-minimal surfaces in R3
Martinez, Antonio
Martinez-Trivino, Antonio Luis
dos Santos, Joao Paulo
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2022, 38 (04) : 1349 - 1370
[2] Complete properly embedded minimal surfaces in R3
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[5] Geometric properties of surfaces with the same mean curvature in R3 and L3 (vol 445, pg 1013, 2017)
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 459 (02) : 1303 - 1304
[6] Mean curvature flow with surgery of mean convex surfaces in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^3$$\end{document}
Simon Brendle
Gerhard Huisken
[J]. Inventiones mathematicae, 2016, 203 (2) : 615 - 654
[7] Half-space theorems for properly immersed surfaces in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^{3}$$\end{document} with prescribed mean curvature
Antonio Bueno
[J]. Annali di Matematica Pura ed Applicata (1923 -), 2020, 199 (2): : 425 - 444

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