Surfaces in \(E^ 4\) with a Gaussian curvature coinciding with a Gaussian torsion up to the sign
Let \(F^2\) be a two-dimensional surface of the Euclidean space \(E^4\) and denote by \(K\), \(\kappa\) its Gaussian curvature and Gaussian torsion, respectively. Some characterization of surfaces \(F^2\) satisfying one of the conditions \(K= \kappa\) or \(K=- \kappa\) are obtained.
scientific article; zbMATH DE number 830767