Dual Uzayda N-Bishop Çatısına Göre Smarandache Eğrileri ve Karşılık Geldiği Regle Yüzeyleri

Year 2022, Volume: 12 Issue: 2, 1003 - 1016, 01.06.2022

Hatice Kusak Samancı Veysi Cengiz

https://doi.org/10.21597/jist.995975

Abstract

Dual uzayda dual birim küre üzerinde seçilen dual Smarandache eğrisi Öklid-3 uzayındaki yönlü doğruların oluşturmuş olduğu regle yüzeye karşılık gelir. Bu çalışmada dual N-Bishop çatısının dual bileşenlerinin yardımıyla oluşturulan dual Smarandache eğrilerine karşılık gelen regle yüzeylerine ait bazı karakterizasyonlar incelenmiştir.

Keywords

Dual uzay, dual eğri, smarandache eğrisi, dual smarandache eğrisi, N-Bishop çatı

The Smarandache Curves and Corresponding to Ruled Surfaces Due to N-Bishop Frame In Dual Space

Abstract

The dual Smarandache curve selected on the dual unit sphere in dual space corresponds to the ruled surface formed by the directional lines in the Euclidean-3 space. In this study, some characterizations of ruled surfaces corresponding to dual Smarandache curves created with the help of dual components of the dual N-Bishop frame were investigated.

Keywords

Dual space, dual curves, smarandache curves, dual smarandache curves, N-Bishop frame

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