Yusuf YAYLI

MINKOWSKI 3-UZAYINDA FRENET EKTORLERiNiN HAREKETi VE TIME-LIKE REGLE YUZEYLER

Başlangıç: 2020
Yayıncı: Kütahya Dumlupınar Üniversitesi

Bu caltsmada bir space-like egri boyunca, Frenet iif yialusundealtnan sabit bir dogrunun hareketiyle olusan time-like regle yiizeyindagilma parametresi hesaplandt. Regie yuzeyin dayanak egrisininhelis olmasi halinde yuzeyin actlabilir oldugunu gosterdik. Ayrtca, sabitdogrunun; dayanak egrisinin tegeti, normali, binormali v.s. olmasihalinde bazt teoremler verdik. Daha fazlast, dayanak egrisinin,striksiyon cizgisi olmast halinde, regIe yuzeyinin acilabilir olmadigtnigosterdik.

Anahtar Kelimeler:

minkowski 3-uzayı, frenet ektörleri

ON THE MOTION OF THE FRENET VECTORS AND TIMELIKE RULED SURFACES IN THE MINKOWSKI 3-SPACE.

In this paper, we obtained the distribution parameter of atimelike ruled surface generated by a timelike straight line in Frenettrihedron moving along a space-like curve. We show that the timelikeruled surface is developable if and only if the base curve is a helix(inclened curve). Furthermore, some theorems are given for the specialcases which the line is being the principal normal and binormal of thebase curve. In addition, it is shown that when the base curve is the sameas the striction curve, the ruled surface is not developable.

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