The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space
type: Item
instance of: scholarly article
title: The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space
zbMATH Open document ID: 0776.53042
DOI: 10.1007/BF01232035
author: Jaigyoung Choe
author: Robert Gulliver
published in: Inventiones Mathematicae
publication date: 1993-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/144029
review text: Let \(\Sigma\) be a two-dimensional minimal surface in the \(n\)-dimensional hyperbolic space \(H^ n\). Assume that the boundary \(\partial\Sigma\) of \(\Sigma\) is radially connected from some point \(p\) of \(\Sigma\), that is, \(\{r=\text{dist}(p,q),q\in\partial\Sigma\}\) is a connected interval. Then the authors obtain a sharp isoperimetric inequality \(4\pi A\leq L^ 2- A^ 2\), where \(L\) is the length of \(\partial\Sigma\) and \(A\) is the area of \(\Sigma\).
reviewed by: Toru Ishihara
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 220745
zbMATH Keywords: minimal surface
zbMATH Keywords: hyperbolic space
zbMATH Keywords: isoperimetric inequality
MaRDI profile type: Publication
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Wikidata QID: Q125823158
description: scientific article; zbMATH DE number 220745