Characterizations of The Ruled Surfaces due to N-Bishop Frame

Yıl 2022, Cilt: 12 Sayı: 1, 113 - 134, 15.06.2022

Hatice Kusak Samancı Mustafa Sevinç

https://doi.org/10.31466/kfbd.937683

Cited By: 3

Öz

In this study, a new ruled surface was defined by using the elements of the N-Bishop frame as a directed vector and the integral curve of the principal normal as a base curve. Then, the differential geometric properties of this new ruled surface such as distribution parameter, striction curve, Gaussian and mean curvature were examined. At the end of the work, various examples were presented related to this new ruled surface.

Anahtar Kelimeler

Ruled surfaces, Serret-Frenet frame, N-Bishop frame

N-Bishop Çatısına Göre Regle Yüzeylerin Bazı Karakterizasyonları

Öz

Bu çalışmada, doğrultmanı N-Bishop çatısının elemanlarından ve dayanak eğrisi ise asli normalinin integral eğrisinden oluşan yeni bir regle yüzey tanımlaması yapılmıştır. Daha sonra, tanımlanan bu yeni regle yüzeyin dağılma parametresi, sitriksiyon çizgisi, Gauss ve ortalama eğriliği gibi diferansiyel geometrik özellikleri incelenmiştir. Çalışmanın sonunda ise bu yeni regle yüzey ile ilgili çeşitli örnekler verilmiştir.

Anahtar Kelimeler

Regle yüzeyleri, Serret-Frenet çatısı, N-Bishop çatısı.

Kaynakça

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