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

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Kocaeli Journal of Science and Engineering
Volume:1 Issue:1
A Characterization of Factorable Surfaces in Euclidean 4-Space E^4

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

Authors : Sezgin BÜYÜKKÜTÜK, Günay ÖZTÜRK

Pages : 15-20

Doi:10.34088/kojose.403665

View : 36 | Download : 7

Publication Date : 2018-05-31

Article Type : Research Paper

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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