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

Year 2018, Volume: 1 Issue: 1, 15 - 20, 31.05.2018

Sezgin Büyükkütük , Günay Öztürk

https://doi.org/10.34088/kojose.403665

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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