A Research on the Spherical Indicatrices of Directional Space Curve

Year 2020, Volume: 13 Issue: ÖZEL SAYI I, 33 - 39, 28.02.2020

Gül Uğur Kaymanlı , Cumali Ekici , Mustafa Dede

https://doi.org/10.18185/erzifbed.599336

Abstract

In this paper, we give a parametrization of a directional space curve by using adapted frame called q-frame.. The spherical images of both directional normal indicatrix and directional tangent indicatrix of this space curve with q-frame are studied. Later using the geodesic curvature of the spherical image of the directional normal indicatrices, we work on the condition that a space curve to be slant helix. Finally, we give an application of the results.

Keywords

q-frame, Slant helix, Spherical indicatrix

Yönlü Uzay Eğrisinin Küresel Göstergeleri Üzerine Bir Çalışma

Abstract

Bu çalışmada, q-çatı olarak adlandırılan adapte edilmiş çatı kullanılarak yönlü uzay eğrisinin parametrik denklemini verdik. q-çatılı bu uzay eğrisinin Yönlü normaller ve teğetler göstergesinin küresel resimleri çalışıldı. Sonrasında yönlü normaller göstergelerinin küresel resminin jeodezik eğriliği kullanılarak uzay eğrisinin slant helis olma şartını çalıştık. Son olarakta, elde edilen sonuçların uygulaması verdik.

Keywords

q-çatı, Slant helis, Küresel gösterge

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