Half-space theorems for minimal surfaces with bounded curvature.
type: Item
instance of: scholarly article
title: Half-space theorems for minimal surfaces with bounded curvature.
zbMATH Open document ID: 1041.53003
author: G. Oliveira-Filho
author: G. Pacelli Bessa
author: Luquesio P. de M. Jorge
published in: Journal of Differential Geometry
publication date: 2002-08-15T00:00:00Z
review text: The authors prove a version of the strong half-space theorem for minimal surfaces with bounded curvature in \(\mathbb R^3\) and give criteria for deciding if a complete minimal surface is proper. They show that complete injectively immersed minimal surfaces with bounded curvature are proper. Finally they show an application of the maximum principle for nonproper minimal immersions in \(\mathbb R^3\).
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 1782687
zbMATH Keywords: minimal surface
zbMATH Keywords: half-space theorem
reviewed by: Bang-Yen Chen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1090348131
OpenAlex ID: W1500654339
Wikidata QID: Q115202690
DOI: 10.4310/JDG/1090348131
description: scientific article; zbMATH DE number 1782687