Isoperimetric rotation extremals on surfaces in Euclidean space \(E^ 3\)
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.
scientific article; zbMATH DE number 1023836