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Normal Fermi-Walker Derivative in $E_{1}^{3}$ | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 6، دوره 9، شماره 1، فروردین 2020، صفحه 86-99 اصل مقاله (100.07 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2020.10693.1295 | ||
| نویسندگان | ||
| Ozgur Keskin* ؛ Yusuf Yayli | ||
| Ankara University | ||
| تاریخ دریافت: 0-1034 فروردین 777، تاریخ بازنگری: 0-1248 فروردین 781، تاریخ پذیرش: 0-1221 فروردین 781 | ||
| چکیده | ||
| In this paper, firstly, in $E_1^3$, we defined normal Fermi-Walker derivative and applied for the adapted frame. Normal Fermi-Walker parallelism, normal non-rotating frame, and Darboux vector expressions of normal Fermi-Walker derivative by normal Fermi-Walker derivative are given for adapted frame. Being conditions of normal Fermi-Walker derivative and normal non-rotating frame are examined for frames throughout spacelike, timelike, lightlike curves. It is shown that the vector field which takes part in [17] is normal Fermi-Walker parallel by the normal Fermi-Walker derivative throughout the spacelike, timelike, and lightlike general helix. Also, we show that the Frenet frame is a normal non-rotating frame using the normal Fermi-Walker derivative. Afterward, we testified that the adapted frame is a normal non-rotating frame throughout the spacelike, timelike, and lightlike general helix. | ||
| کلیدواژه‌ها | ||
| Frenet frame؛ Normal Fermi-Walker derivative؛ Normal Non-rotating frame؛ Spacelike Curve؛ Timelike Curve | ||
| عنوان مقاله [English] | ||
| مشتقگیری فرمی-واکر نرمال در $E_{1}^{3}$ | ||
| مراجع | ||
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