Title of article :
AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4−SPACE E 4
Author/Authors :
BUYUKK UT UK, S Kocaeli University - Art and Science Faculty - Department of Mathematics - Kocaeli, Turkey , OZT URK, G ˙Izmir Democracy University - Art and Science Faculty - Department of Mathematics - Izmir, Turkey
Abstract :
In the present paper, we consider the factorable surfaces in Euclidean 4-space
E
4
. We characterize such surfaces in terms of their Gaussian curvature, Gaussian torsion
and mean curvature. Further, we classify flat, semiumbilical and minimal factorable
surfaces in E
4
.
Keywords :
Euclidean 4-space , monge patch , minimal surface
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics