The perimeter-minimizing enclosure of two areas in \(S^2\)
type: Item
instance of: scholarly article
title: The perimeter-minimizing enclosure of two areas in \(S^2\)
zbMATH Open document ID: 0946.52004
author: Joseph D. Masters
published in: Real Analysis Exchange
publication date: 2000-05-22T00:00:00Z
review text: It is shown that the least-perimeter way to enclose and separate two prescribed areas in \(S^2\) is the standard double bubble. For given areas \(A_1,A_2>0\), with \(A_1+A_2<4\pi \), there exists a unique standard double bubble in the unit round sphere enclosing and separating regions of area \(A_1\) and \(A_2\).
reviewed by: Dagmar Medková
Mathematics Subject Classification ID: 52A38
zbMATH DE Number: 1450289
zbMATH Keywords: perimeter
zbMATH Keywords: double bubble
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1450289