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

Yıl 2018, Cilt: 1 Sayı: 1, 15 - 20, 31.05.2018

Sezgin Büyükkütük , Günay Öztürk

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

https://izlik.org/JA34DN37CG

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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