Journals / Journal of Scientific Reports-A / 2000 / Sayı: 001
ON THE MOTION OF THE FRENET VECTORS AND TIMELIKE RULED SURFACES IN THE MINKOWSKI 3-SPACE.
- Issue
- 2000 · Sayı: 001
- Pages
- 247–254
- DOI
- —
Abstract
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.
Özet
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.