A Characterization of Factorable Surfaces in Euclidean 4-Space E^4

Abstract

In this paper, we consider a factorable surface in Euclidean E^4 with its curvature ellipse. We classify the origin of the normal space of such a surface according to whether it is hyperbolic, parabolic, or elliptic. Further, we give the necessary and sufficient condition of the factorable surface to become Wintgen ideal surface.