Isoperimetric rotation extremals on surfaces in Euclidean space \(E^ 3\)
type: Item
instance of: scholarly article
title: Isoperimetric rotation extremals on surfaces in Euclidean space \(E^ 3\)
zbMATH Open document ID: 0874.53001
author: S. G. Leĭko
published in: Russian Mathematics
publication date: 1997-06-18T00:00:00Z
review text: An isoperimetric extremal of rotation is a curve \(\gamma\) on the surface \(S\), satisfying the condition \(k_g=cK\), where \(K\) is the Gauss curvature of \(S\), \(k_g\) is the geodesic curvature of \(\gamma\) and \(c\) is a constant. Their existence and some extremal properties are established.
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 58E10
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 1023836
zbMATH Keywords: Euclidean space
zbMATH Keywords: isoperimetric extremal
reviewed by: Gheorghe Pitiş
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1023836