An application of factorable surfaces in Euclidean 4−space E⁴

Abstract

In the present paper, we consider the factorable surfaces in Euclidean 4-space E⁴. We characterize such surfaces in terms of their Gaussian curvature, Gaussian torsion and mean curvature. Further, we classify flat, semiumbilical and minimal factorable surfaces in E⁴. Factorable surface, Euclidean 4-space, monge patch, minimal surface.