3-Boyutlu Öklid Uzayında Adjoint Eğrilerin Binormal Yüzeyleri

Year 2023, Volume: 26 Issue: 3, 1141 - 1144, 01.10.2023

Talat Körpınar , Ahmet Sazak

https://doi.org/10.2339/politeknik.1059740

Cited By: 1

Abstract

Bu çalışmada, bağlantılı eğriler yardımıyla tanımlanmış geniş uygulama alanlarına sahip yüzeyler konusuna kendine has bir katkı sunuyoruz. Özelde, bağlantılı eğrilerin önemli örneklerinden biri olan adjoint eğriler ile oluşturulan binormal yüzeyleri inceliyoruz. 3-boyutlu Öklid uzayında Frenet-Serret (FS) çatısı altında adjoint eğrilerin binormal yüzeylerini tanımlayarak, böyle yüzeyleri karakterize ediyoruz. Bu karakterizasyonlar yardımıyla bazı sonuçlar veriyoruz.

Keywords

Binormal yüzey, Adjoint eğri, Frenet-Serret çatı

Binormal Surfaces of Adjoint Curves in 3D Euclidean Space

Abstract

In this study, we make a specific contribution to the subject of surfaces with wide application areas defined with the help of associated curves. In particular, we examine the binormal surfaces generated via adjoint curves which are one of the important examples of associated curves. By defining the binormal surfaces of adjoint curves under the Frenet-Serret (FS) frame in 3D Euclidean space, we characterize such surfaces and give some results with the aid of these characterizations.

Keywords

Binormal surface, Adjoint curve, Frenet-Serret frame

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