Isoperimetric rotation extremals on surfaces in Euclidean space \(E^ 3\) (Q1357922)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Isoperimetric rotation extremals on surfaces in Euclidean space \(E^ 3\) |
scientific article; zbMATH DE number 1023836
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isoperimetric rotation extremals on surfaces in Euclidean space \(E^ 3\) |
scientific article; zbMATH DE number 1023836 |
Statements
Isoperimetric rotation extremals on surfaces in Euclidean space \(E^ 3\) (English)
0 references
18 June 1997
0 references
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.
0 references
Euclidean space
0 references
isoperimetric extremal
0 references
