Directional Evolution of the Ruled Surfaces via the Evolution of Their Directrix Using q-frame along a Timelike Space Curve

Abstract

In this study, the ruled surfaces obtained by normal and binormal vectors along a timelike space curve in 3 dimensional Minkowski space by using q-frame is investigated. Directional evolutions of both quasi normal and quasi binormal ruled surfaces are studied by using their directrices. Then, we work on some geometric properties such as inextensibilty, developability and minimality of these ruled surfaces.

Keywords

• Evolution Surface,Minkowski Space,q-frame,Ruled Surface

Timelike Uzay Eğrisi boyunca q-çatı kullanılarak doğrultmanların gelişimiyle regle yüzeylerin yönlü gelişimleri

Abstract

Bu çalışmada, 3 boyutlu Minkowski uzayında q-çatılı timelike uzay eğrisi boyunca normal ve binormal vektörlerle elde edilen regle yüzeyler incelendi. Doğrultmanlar kullanılarak hem quasi normal hem de quasi binormal regle yüzeylerin yönlü gelişimleri çalışıldı. Daha sonra bu regle yüzeylerin açılabilirliği, uzatılamaz olduğu ve minimal olma özellikleri gibi bazı geometrik özellikler üzerine çalıştık.

Keywords

• Gelişim Yüzeyi,Minkowski Uzayı,q-çatı,Regle Yüzeyi

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