Hiperbolik Yükseltme İle Açılabilir Yüzeyler Üzerine Bir Çalışma

Authors : İlkay GÜVEN, Mustafa DEDE, Cumali EKİCİ

Pages : 544-549

Doi:10.18185/erzifbed.672100

View : 25 | Download : 15

Publication Date : 2020-08-31

Article Type : Research Paper

Abstract :In this paper, by using a hyperbolic lifting transformation to a plane curve, we construct an envelope ruled surface. Then we show that it is a developable surface in three dimensional Euclidean space and we give the conditions of this surface to be a minimal surface and constant mean curvature surface. Finally, we constructed some examples and graph the curves and surfaces given in examples. In this paper, by using a hyperbolic lifting transformation to a plane curve, we construct an envelope ruled surface. Then we show that it is a developable surface in three dimensional Euclidean space and we give the conditions of this surface to be a minimal surface and constant mean curvature surface. Finally, we constructed some examples and graph the curves and surfaces given in examples.
Keywords : Ruled surface, Developable surface, Envelope surface, Curve lifting