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.

Keywords

• Curvature ellipse,Factorable surface,Gaussian curvature,Mean curvature,Normal curvature,Wintgen ideal surface

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