Gül UĞUR KAYMANLI, Mustafa DEDE, Cumalı EKİCİ

Timelike Uzay Eğrisi Boyunca q-çatı Kullanılarak Doğrultmanların Gelişimine Göre Regle Yüzeylerin Yönlü Gelişimleri

Bu çalışmada, 3 boyutlu Minkowski uzayında q-çatılı timelike uzay eğrisi boyunca normal ve binormal vektörlerle elde edilen regleyüzeyler 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 üzerineçalıştık.

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

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

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