Yasin ÜNLÜTÜRK, Muradiye ÇİMDİKER, Süha YILMAZ

Minkowski Uzay-Zamanda Timelike W-Eğrilerin Küresel Göstergelerinin Karakterizasyonları

? −eğrisinin sabit Frenet eğriliklerine sahip bir eğri olduğunu biliyoruz. Bu çalışmada, öncelikle, ?1 4 Minkowski uzay-zamanında, ℍ0 3 pseudohiperbolik uzay üzerinde bir timelike ? −eğrisinin asli normal ve binormal küresel göstergelerini araştırdık. Yanısıra, ℍ0 3 pseudohiperbolik uzay üzerinde yatan timelike ? −eğrisinin binormal küresel göstergesi spacelike bir eğridir. Bu nedenle, aynı uzayda, söz konusu görüntü eğrisinin Frenet-Serret değişmezlerini timelike ? −eğrisinin değişmezleri cinsinden elde ettik. Son olarak, ?1 4 Minkowski uzay-zamanındaki timelike ? −eğrisi için helis olması durumunda küresel göstergenin bazı karakterizasyonlarını verdik

The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time

We know that ? −curve is a curve which has constant Frenet curvatures. In this study, firstly, wehave investigated the principal normal and binormal spherical images of a timelike ? −curve onpseudohyperbolic space ℍ03in Minkowski space-time ?14. Besides, the binormal spherical image ofthe timelike ? −curve is a spacelike curve which lies on pseudohyperbolic space ℍ03. Hence, we haveobtained the Frenet-Serret invariants of the mentioned image curve in terms of the invariants of thetimelike W-curve in the same space. Finally, we have given some characterizations of the sphericalimage in the case of being helix for the timelike ? −curve in Minkowski space-time ?14

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