İlkay Arslan Güven, Cumali Ekici, Mustafa Dede

Hiperbolik Yükseltme İle Açılabilir Yüzeyler Üzerine Bir Çalışma

Bu makalede, bir düzlemsel eğriye hiperbolik yükseltme dönüşümü uygulayarak, regle zarf yüzeyi inşa ettik. Daha sonra bu yüzeyin üç boyutlu Öklid uzayında açılabilir yüzey olduğunu gösterdik ve bu yüzeyin minimal yüzey ve sabit ortalama eğrilikli yüzey olabilmesi için koşulları verdik. Son olarak, bazı örnekler verdik ve örneklerdeki eğrilerin ve yüzeylerin grafiklerini çizdik.

A Study On Hyperbolic Lifted Developable Surfaces

In this paper, we build an envelope ruled surface by means of hyperbolic lifting transformation which is performed to a plane curve,. We demonstrate that it is a developable surface in three dimensional Euclidean space and we impute the statements to be a minimal surface of this surface and constant mean curvature surface. Finally, we construct some examples and graph the curves and surfaces given in examples.

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